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Finding the Fourth Proportional to 9,012.81, 13,519.17 and 2,438.97

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Solution

The fourth proportional to 9,012.81, 13,519.17 and 2,438.97 is: 3,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.81 : 13,519.17 = 2,438.97 : x
  2. Step 2: Convert to fraction form
    9,012.81/13,519.17 = 2,438.97/x
  3. Step 3: Cross multiply
    9,012.81x = 13,519.17 × 2,438.97
  4. Step 4: Simplify right side
    9,012.81x = 32,972,850.05
  5. Step 5: Solve for x
    x = 32,972,850.05/9,012.81
  6. Step 6: Final answer
    x = 3,658.44

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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.