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Finding the Fourth Proportional to 6,380.60, 9,569.42 and 2,432.30

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Solution

The fourth proportional to 6,380.60, 9,569.42 and 2,432.30 is: 3,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.60 : 9,569.42 = 2,432.30 : x
  2. Step 2: Convert to fraction form
    6,380.60/9,569.42 = 2,432.30/x
  3. Step 3: Cross multiply
    6,380.60x = 9,569.42 × 2,432.30
  4. Step 4: Simplify right side
    6,380.60x = 23,275,640.26
  5. Step 5: Solve for x
    x = 23,275,640.26/6,380.60
  6. Step 6: Final answer
    x = 3,647.88

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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.