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Finding the Fourth Proportional to 11,204.46, 15,454.17 and 9,514.14

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Solution

The fourth proportional to 11,204.46, 15,454.17 and 9,514.14 is: 13,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.46 : 15,454.17 = 9,514.14 : x
  2. Step 2: Convert to fraction form
    11,204.46/15,454.17 = 9,514.14/x
  3. Step 3: Cross multiply
    11,204.46x = 15,454.17 × 9,514.14
  4. Step 4: Simplify right side
    11,204.46x = 147,033,136.96
  5. Step 5: Solve for x
    x = 147,033,136.96/11,204.46
  6. Step 6: Final answer
    x = 13,122.73

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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.