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Finding the Fourth Proportional to 6,432.48, 9,644.17 and 2,480.39

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Solution

The fourth proportional to 6,432.48, 9,644.17 and 2,480.39 is: 3,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.48 : 9,644.17 = 2,480.39 : x
  2. Step 2: Convert to fraction form
    6,432.48/9,644.17 = 2,480.39/x
  3. Step 3: Cross multiply
    6,432.48x = 9,644.17 × 2,480.39
  4. Step 4: Simplify right side
    6,432.48x = 23,921,325.39
  5. Step 5: Solve for x
    x = 23,921,325.39/6,432.48
  6. Step 6: Final answer
    x = 3,718.83

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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.