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Finding the Fourth Proportional to 7,073.76, 9,761.92 and 3,930.24

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Solution

The fourth proportional to 7,073.76, 9,761.92 and 3,930.24 is: 5,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.76 : 9,761.92 = 3,930.24 : x
  2. Step 2: Convert to fraction form
    7,073.76/9,761.92 = 3,930.24/x
  3. Step 3: Cross multiply
    7,073.76x = 9,761.92 × 3,930.24
  4. Step 4: Simplify right side
    7,073.76x = 38,366,688.46
  5. Step 5: Solve for x
    x = 38,366,688.46/7,073.76
  6. Step 6: Final answer
    x = 5,423.80

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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.