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Finding the Fourth Proportional to 6,086.41, 9,126.27 and 3,747.28

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Solution

The fourth proportional to 6,086.41, 9,126.27 and 3,747.28 is: 5,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.41 : 9,126.27 = 3,747.28 : x
  2. Step 2: Convert to fraction form
    6,086.41/9,126.27 = 3,747.28/x
  3. Step 3: Cross multiply
    6,086.41x = 9,126.27 × 3,747.28
  4. Step 4: Simplify right side
    6,086.41x = 34,198,689.05
  5. Step 5: Solve for x
    x = 34,198,689.05/6,086.41
  6. Step 6: Final answer
    x = 5,618.86

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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.