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Finding the Fourth Proportional to 6,102.73, 9,154.14 and 2,207.13

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Solution

The fourth proportional to 6,102.73, 9,154.14 and 2,207.13 is: 3,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.73 : 9,154.14 = 2,207.13 : x
  2. Step 2: Convert to fraction form
    6,102.73/9,154.14 = 2,207.13/x
  3. Step 3: Cross multiply
    6,102.73x = 9,154.14 × 2,207.13
  4. Step 4: Simplify right side
    6,102.73x = 20,204,377.02
  5. Step 5: Solve for x
    x = 20,204,377.02/6,102.73
  6. Step 6: Final answer
    x = 3,310.71

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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.