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Finding the Fourth Proportional to 6,432.60, 9,648.84 and 5,142.24

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Solution

The fourth proportional to 6,432.60, 9,648.84 and 5,142.24 is: 7,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.60 : 9,648.84 = 5,142.24 : x
  2. Step 2: Convert to fraction form
    6,432.60/9,648.84 = 5,142.24/x
  3. Step 3: Cross multiply
    6,432.60x = 9,648.84 × 5,142.24
  4. Step 4: Simplify right side
    6,432.60x = 49,616,651.00
  5. Step 5: Solve for x
    x = 49,616,651.00/6,432.60
  6. Step 6: Final answer
    x = 7,713.31

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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.