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Finding the Fourth Proportional to 8,431.38, 12,635.19 and 3,984.30

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Solution

The fourth proportional to 8,431.38, 12,635.19 and 3,984.30 is: 5,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.38 : 12,635.19 = 3,984.30 : x
  2. Step 2: Convert to fraction form
    8,431.38/12,635.19 = 3,984.30/x
  3. Step 3: Cross multiply
    8,431.38x = 12,635.19 × 3,984.30
  4. Step 4: Simplify right side
    8,431.38x = 50,342,387.52
  5. Step 5: Solve for x
    x = 50,342,387.52/8,431.38
  6. Step 6: Final answer
    x = 5,970.84

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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.