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Finding the Fourth Proportional to 8,439.20, 12,663.92 and 3,822.24

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Solution

The fourth proportional to 8,439.20, 12,663.92 and 3,822.24 is: 5,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.20 : 12,663.92 = 3,822.24 : x
  2. Step 2: Convert to fraction form
    8,439.20/12,663.92 = 3,822.24/x
  3. Step 3: Cross multiply
    8,439.20x = 12,663.92 × 3,822.24
  4. Step 4: Simplify right side
    8,439.20x = 48,404,541.58
  5. Step 5: Solve for x
    x = 48,404,541.58/8,439.20
  6. Step 6: Final answer
    x = 5,735.68

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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.