"and his reign would be the means of exalting Israel as “a wise and understanding people,” the light of the surrounding nations. Deuteronomy 4:6 . PK 30.1"
"Keep therefore and do them; for this is your wisdom and your understanding in the sight of the nations, which shall hear all these statutes, and say, Surely this great nation is a wise and understanding people."
The EGW passage directly quotes Deuteronomy 4:6, making it an explicit allusion.
The language used by Solomon while praying to God before the ancient altar at Gibeon reveals his humility and his strong desire to honor God. He realized that without divine aid he was as helpless as a little child to fulfill the responsibilities resting on him. He knew that he lacked discernment, and it was a sense of his great need that led him to seek God for wisdom. In his heart there was no selfish aspirations for a knowledge that would exalt him above others. He desired to discharge faithfully the duties devolving upon him, and he chose the gift that would be the means of causing his reign to bring glory to God. Solomon was never so rich or so wise or so truly great as when he confessed, “I am but a little child: I know not how to go out or come in.” PK 30.2 Those who today occupy positions of trust should seek to learn the lesson taught by Solomon's prayer. The higher the position a man occupies, the greater the responsibility that he has to bear, the wider will be the influence…
"And now, O Lord my God, thou hast made thy servant king instead of David my father: and I am but a little child: I know not how to go out or come in."
EGW directly quotes and elaborates on 1 Kings 3:7, making it an explicit allusion.
"Give therefore thy servant an understanding heart to judge thy people, that I may discern between good and bad: for who is able to judge this thy so great a people?"
The EGW passage quotes 1 Kings 3:7, not 3:9, but the surrounding context and the sentiment expressed are clearly related to Solomon's prayer for wisdom. The reference to being 'a little child' is the key connection.