Solve for a in the proportion 1/9 = a/6.

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Problem

Solve for a in the proportion 1/9 = a/6.

Step-by-step solution

To solve for 'a', cross-multiply the equation $\frac{1}{9} = \frac{a}{6}$. This gives $1 \times 6 = 9 \times a$, which simplifies to $6 = 9a$. Dividing both sides by 9 yields $a = \frac{6}{9}$, which simplifies to $a = \frac{2}{3}$.

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Answer

$a = \frac{2}{3}$