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Finding the Fourth Proportional to 6,432.70, 8,877.24 and 3,638.20

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Solution

The fourth proportional to 6,432.70, 8,877.24 and 3,638.20 is: 5,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.70 : 8,877.24 = 3,638.20 : x
  2. Step 2: Convert to fraction form
    6,432.70/8,877.24 = 3,638.20/x
  3. Step 3: Cross multiply
    6,432.70x = 8,877.24 × 3,638.20
  4. Step 4: Simplify right side
    6,432.70x = 32,297,174.57
  5. Step 5: Solve for x
    x = 32,297,174.57/6,432.70
  6. Step 6: Final answer
    x = 5,020.78

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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.