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Finding the Fourth Proportional to 6,424.92, 9,637.38 and 2,529.30

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Solution

The fourth proportional to 6,424.92, 9,637.38 and 2,529.30 is: 3,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.92 : 9,637.38 = 2,529.30 : x
  2. Step 2: Convert to fraction form
    6,424.92/9,637.38 = 2,529.30/x
  3. Step 3: Cross multiply
    6,424.92x = 9,637.38 × 2,529.30
  4. Step 4: Simplify right side
    6,424.92x = 24,375,825.23
  5. Step 5: Solve for x
    x = 24,375,825.23/6,424.92
  6. Step 6: Final answer
    x = 3,793.95

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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.