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Finding the Fourth Proportional to 9,711.59, 13,402.91 and 5,463.71

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Solution

The fourth proportional to 9,711.59, 13,402.91 and 5,463.71 is: 7,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.59 : 13,402.91 = 5,463.71 : x
  2. Step 2: Convert to fraction form
    9,711.59/13,402.91 = 5,463.71/x
  3. Step 3: Cross multiply
    9,711.59x = 13,402.91 × 5,463.71
  4. Step 4: Simplify right side
    9,711.59x = 73,229,613.40
  5. Step 5: Solve for x
    x = 73,229,613.40/9,711.59
  6. Step 6: Final answer
    x = 7,540.44

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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.