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Finding the Fourth Proportional to 6,161.88, 9,241.91 and 2,265.38

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Solution

The fourth proportional to 6,161.88, 9,241.91 and 2,265.38 is: 3,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.88 : 9,241.91 = 2,265.38 : x
  2. Step 2: Convert to fraction form
    6,161.88/9,241.91 = 2,265.38/x
  3. Step 3: Cross multiply
    6,161.88x = 9,241.91 × 2,265.38
  4. Step 4: Simplify right side
    6,161.88x = 20,936,380.54
  5. Step 5: Solve for x
    x = 20,936,380.54/6,161.88
  6. Step 6: Final answer
    x = 3,397.73

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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.