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Finding the Fourth Proportional to 6,334.70, 9,489.90 and 3,862.18

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Solution

The fourth proportional to 6,334.70, 9,489.90 and 3,862.18 is: 5,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.70 : 9,489.90 = 3,862.18 : x
  2. Step 2: Convert to fraction form
    6,334.70/9,489.90 = 3,862.18/x
  3. Step 3: Cross multiply
    6,334.70x = 9,489.90 × 3,862.18
  4. Step 4: Simplify right side
    6,334.70x = 36,651,654.53
  5. Step 5: Solve for x
    x = 36,651,654.53/6,334.70
  6. Step 6: Final answer
    x = 5,785.85

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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.