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Solve for $p$ . $\begin{array}{l}\frac{p}{8}=\frac{7}{9} \\p=\square\end{array}$

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Mean, median, mode, and range: find the missing number

Full solution

Q. Solve for

p

.

\begin{array}{l}\frac{p}{8}=\frac{7}{9} \\p=\square\end{array}

Identify proportion: Identify the given proportion. The given proportion is $(\frac{p}{8}) = (\frac{7}{9})$ .
Cross-multiply to solve: Solve for $p$ by cross-multiplying. $\newline$ To find $p$ , we cross-multiply the terms of the proportion: $\newline$ $p \times 9 = 7 \times 8$
Perform multiplication: Perform the multiplication. $9p = 56$
Isolate variable: Divide both sides by $9$ to isolate $p$ . $\newline$ $p = \frac{56}{9}$
Final answer: Simplify the fraction if necessary. $\newline$ $p = \frac{56}{9}$ cannot be simplified further, so this is the final answer.

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