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Finding the Fourth Proportional to 9,105.69, 13,660.60 and 2,781.15

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Solution

The fourth proportional to 9,105.69, 13,660.60 and 2,781.15 is: 4,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.69 : 13,660.60 = 2,781.15 : x
  2. Step 2: Convert to fraction form
    9,105.69/13,660.60 = 2,781.15/x
  3. Step 3: Cross multiply
    9,105.69x = 13,660.60 × 2,781.15
  4. Step 4: Simplify right side
    9,105.69x = 37,992,177.69
  5. Step 5: Solve for x
    x = 37,992,177.69/9,105.69
  6. Step 6: Final answer
    x = 4,172.36

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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.