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Finding the Fourth Proportional to 9,114.97, 12,578.61 and 5,081.75

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Solution

The fourth proportional to 9,114.97, 12,578.61 and 5,081.75 is: 7,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.97 : 12,578.61 = 5,081.75 : x
  2. Step 2: Convert to fraction form
    9,114.97/12,578.61 = 5,081.75/x
  3. Step 3: Cross multiply
    9,114.97x = 12,578.61 × 5,081.75
  4. Step 4: Simplify right side
    9,114.97x = 63,921,288.47
  5. Step 5: Solve for x
    x = 63,921,288.47/9,114.97
  6. Step 6: Final answer
    x = 7,012.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.