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Finding the Fourth Proportional to 9,013.24, 12,438.82 and 5,034.65

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Solution

The fourth proportional to 9,013.24, 12,438.82 and 5,034.65 is: 6,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.24 : 12,438.82 = 5,034.65 : x
  2. Step 2: Convert to fraction form
    9,013.24/12,438.82 = 5,034.65/x
  3. Step 3: Cross multiply
    9,013.24x = 12,438.82 × 5,034.65
  4. Step 4: Simplify right side
    9,013.24x = 62,625,049.21
  5. Step 5: Solve for x
    x = 62,625,049.21/9,013.24
  6. Step 6: Final answer
    x = 6,948.12

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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.