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Finding the Fourth Proportional to 9,642.72, 13,306.92 and 5,450.97

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Solution

The fourth proportional to 9,642.72, 13,306.92 and 5,450.97 is: 7,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.72 : 13,306.92 = 5,450.97 : x
  2. Step 2: Convert to fraction form
    9,642.72/13,306.92 = 5,450.97/x
  3. Step 3: Cross multiply
    9,642.72x = 13,306.92 × 5,450.97
  4. Step 4: Simplify right side
    9,642.72x = 72,535,621.71
  5. Step 5: Solve for x
    x = 72,535,621.71/9,642.72
  6. Step 6: Final answer
    x = 7,522.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.