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Finding the Fourth Proportional to 6,147.57, 9,198 and 3,734.31

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Solution

The fourth proportional to 6,147.57, 9,198 and 3,734.31 is: 5,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.57 : 9,198 = 3,734.31 : x
  2. Step 2: Convert to fraction form
    6,147.57/9,198 = 3,734.31/x
  3. Step 3: Cross multiply
    6,147.57x = 9,198 × 3,734.31
  4. Step 4: Simplify right side
    6,147.57x = 34,348,183.38
  5. Step 5: Solve for x
    x = 34,348,183.38/6,147.57
  6. Step 6: Final answer
    x = 5,587.28

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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.