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Finding the Fourth Proportional to 6,325.32, 9,489.17 and 2,429.40

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Solution

The fourth proportional to 6,325.32, 9,489.17 and 2,429.40 is: 3,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.32 : 9,489.17 = 2,429.40 : x
  2. Step 2: Convert to fraction form
    6,325.32/9,489.17 = 2,429.40/x
  3. Step 3: Cross multiply
    6,325.32x = 9,489.17 × 2,429.40
  4. Step 4: Simplify right side
    6,325.32x = 23,052,989.60
  5. Step 5: Solve for x
    x = 23,052,989.60/6,325.32
  6. Step 6: Final answer
    x = 3,644.56

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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.