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Finding the Fourth Proportional to 9,151.80, 13,727.82 and 2,578.12

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Solution

The fourth proportional to 9,151.80, 13,727.82 and 2,578.12 is: 3,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.80 : 13,727.82 = 2,578.12 : x
  2. Step 2: Convert to fraction form
    9,151.80/13,727.82 = 2,578.12/x
  3. Step 3: Cross multiply
    9,151.80x = 13,727.82 × 2,578.12
  4. Step 4: Simplify right side
    9,151.80x = 35,391,967.30
  5. Step 5: Solve for x
    x = 35,391,967.30/9,151.80
  6. Step 6: Final answer
    x = 3,867.21

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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.