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Finding the Fourth Proportional to 9,049.18, 12,493.96 and 5,651.38

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Solution

The fourth proportional to 9,049.18, 12,493.96 and 5,651.38 is: 7,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.18 : 12,493.96 = 5,651.38 : x
  2. Step 2: Convert to fraction form
    9,049.18/12,493.96 = 5,651.38/x
  3. Step 3: Cross multiply
    9,049.18x = 12,493.96 × 5,651.38
  4. Step 4: Simplify right side
    9,049.18x = 70,608,115.66
  5. Step 5: Solve for x
    x = 70,608,115.66/9,049.18
  6. Step 6: Final answer
    x = 7,802.71

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Why These Related Problems?

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