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Finding the Fourth Proportional to 9,049.86, 12,493.17 and 5,694.30

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Solution

The fourth proportional to 9,049.86, 12,493.17 and 5,694.30 is: 7,860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.86 : 12,493.17 = 5,694.30 : x
  2. Step 2: Convert to fraction form
    9,049.86/12,493.17 = 5,694.30/x
  3. Step 3: Cross multiply
    9,049.86x = 12,493.17 × 5,694.30
  4. Step 4: Simplify right side
    9,049.86x = 71,139,857.93
  5. Step 5: Solve for x
    x = 71,139,857.93/9,049.86
  6. Step 6: Final answer
    x = 7,860.88

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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.