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Finding the Fourth Proportional to 9,105.70, 13,660.61 and 2,781.15

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Solution

The fourth proportional to 9,105.70, 13,660.61 and 2,781.15 is: 4,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.70 : 13,660.61 = 2,781.15 : x
  2. Step 2: Convert to fraction form
    9,105.70/13,660.61 = 2,781.15/x
  3. Step 3: Cross multiply
    9,105.70x = 13,660.61 × 2,781.15
  4. Step 4: Simplify right side
    9,105.70x = 37,992,123.29
  5. Step 5: Solve for x
    x = 37,992,123.29/9,105.70
  6. Step 6: Final answer
    x = 4,172.35

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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.