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Finding the Fourth Proportional to 6,149.57, 9,229.28 and 3,188.86

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Solution

The fourth proportional to 6,149.57, 9,229.28 and 3,188.86 is: 4,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.57 : 9,229.28 = 3,188.86 : x
  2. Step 2: Convert to fraction form
    6,149.57/9,229.28 = 3,188.86/x
  3. Step 3: Cross multiply
    6,149.57x = 9,229.28 × 3,188.86
  4. Step 4: Simplify right side
    6,149.57x = 29,430,842.80
  5. Step 5: Solve for x
    x = 29,430,842.80/6,149.57
  6. Step 6: Final answer
    x = 4,785.84

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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.