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Just looking at it materially, the knight carries 3 points, as against the queen's 9, the rook's 5 and the bishop's 3, so in that sense, it's joint third in importance with the bishop. However, if the king is "captured"(checkmated), the game ends and hence you may also say that the knight is 4th in importance!

However, in evaluating the importance of the knight, one must ALSO look into the subtler nuances of a position. For example, the knight is superior to a bishop generally in closed games, since it can hop over pieces, a feat that any of the pieces can't accomplish! Also, depending on the position in question, a knight may be stronger than any other piece then on the board, for example, consider this game:

1) e4 e5 2) Nf3 Nc6 3) Bb5 Nf6 4) d3 Ne7 5) Nxe5 c6 6) Nc4 cxb5,

and lo and behold! The knight becomes the most powerful piece since it delivers a checkmate with 7) Nd6! (The game: Richard Clewin Griffith vs NN 1888)

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