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Finding the Fourth Proportional to 9,711.52, 13,404.91 and 7,470.76

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Solution

The fourth proportional to 9,711.52, 13,404.91 and 7,470.76 is: 10,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.52 : 13,404.91 = 7,470.76 : x
  2. Step 2: Convert to fraction form
    9,711.52/13,404.91 = 7,470.76/x
  3. Step 3: Cross multiply
    9,711.52x = 13,404.91 × 7,470.76
  4. Step 4: Simplify right side
    9,711.52x = 100,144,783.17
  5. Step 5: Solve for x
    x = 100,144,783.17/9,711.52
  6. Step 6: Final answer
    x = 10,311.96

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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.