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\\(\frac{3}{4}=\frac{9}{\square}\\); jack should have used \\(\square\\) cups of cranberry juice.
Step1: Solve for the missing denominator
Let the unknown be $x$. Set up proportion: $\frac{3}{4}=\frac{9}{x}$. Cross-multiply: $3x=9\times4$
Step2: Calculate and isolate $x$
$3x=36$, so $x=\frac{36}{3}=12$
Step3: Confirm the value
$\frac{3}{4}=\frac{9}{12}$ simplifies correctly, so the missing number is 12.
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12