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Finding the Fourth Proportional to 9,691.50, 13,376.70 and 5,711.16

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Solution

The fourth proportional to 9,691.50, 13,376.70 and 5,711.16 is: 7,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.50 : 13,376.70 = 5,711.16 : x
  2. Step 2: Convert to fraction form
    9,691.50/13,376.70 = 5,711.16/x
  3. Step 3: Cross multiply
    9,691.50x = 13,376.70 × 5,711.16
  4. Step 4: Simplify right side
    9,691.50x = 76,396,473.97
  5. Step 5: Solve for x
    x = 76,396,473.97/9,691.50
  6. Step 6: Final answer
    x = 7,882.83

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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.