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Finding the Fourth Proportional to 6,472.20, 9,708.30 and 6,385.80

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Solution

The fourth proportional to 6,472.20, 9,708.30 and 6,385.80 is: 9,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.20 : 9,708.30 = 6,385.80 : x
  2. Step 2: Convert to fraction form
    6,472.20/9,708.30 = 6,385.80/x
  3. Step 3: Cross multiply
    6,472.20x = 9,708.30 × 6,385.80
  4. Step 4: Simplify right side
    6,472.20x = 61,995,262.14
  5. Step 5: Solve for x
    x = 61,995,262.14/6,472.20
  6. Step 6: Final answer
    x = 9,578.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.