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Finding the Fourth Proportional to 6,167.16, 9,242.96 and 3,945.15

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Solution

The fourth proportional to 6,167.16, 9,242.96 and 3,945.15 is: 5,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.16 : 9,242.96 = 3,945.15 : x
  2. Step 2: Convert to fraction form
    6,167.16/9,242.96 = 3,945.15/x
  3. Step 3: Cross multiply
    6,167.16x = 9,242.96 × 3,945.15
  4. Step 4: Simplify right side
    6,167.16x = 36,464,843.92
  5. Step 5: Solve for x
    x = 36,464,843.92/6,167.16
  6. Step 6: Final answer
    x = 5,912.74

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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.