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Finding the Fourth Proportional to 6,149.75, 9,227.33 and 3,227.38

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Solution

The fourth proportional to 6,149.75, 9,227.33 and 3,227.38 is: 4,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.75 : 9,227.33 = 3,227.38 : x
  2. Step 2: Convert to fraction form
    6,149.75/9,227.33 = 3,227.38/x
  3. Step 3: Cross multiply
    6,149.75x = 9,227.33 × 3,227.38
  4. Step 4: Simplify right side
    6,149.75x = 29,780,085.30
  5. Step 5: Solve for x
    x = 29,780,085.30/6,149.75
  6. Step 6: Final answer
    x = 4,842.49

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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.