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Finding the Fourth Proportional to 6,432.39, 9,648.41 and 2,732.76

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Solution

The fourth proportional to 6,432.39, 9,648.41 and 2,732.76 is: 4,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.39 : 9,648.41 = 2,732.76 : x
  2. Step 2: Convert to fraction form
    6,432.39/9,648.41 = 2,732.76/x
  3. Step 3: Cross multiply
    6,432.39x = 9,648.41 × 2,732.76
  4. Step 4: Simplify right side
    6,432.39x = 26,366,775.25
  5. Step 5: Solve for x
    x = 26,366,775.25/6,432.39
  6. Step 6: Final answer
    x = 4,099.06

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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.