The ratio of a to b from the given equation 9a = 2b is a : b = 4b / 81a
9a = 2b
a = 2b / 9
b = 9a / 2
a : b = 2b / 9 : 9a / 2
a/b = 2b/9 ÷ 9a / 2
= 2b/9 × 2/9a
= 4b / 81a
a : b = 4b / 81a
Therefore, the ratio of a to b from the given equation 9a = 2b is a : b = 4b / 81a
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