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Finding the Fourth Proportional to 9,057.78, 12,493.20 and 5,521.14

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Solution

The fourth proportional to 9,057.78, 12,493.20 and 5,521.14 is: 7,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.78 : 12,493.20 = 5,521.14 : x
  2. Step 2: Convert to fraction form
    9,057.78/12,493.20 = 5,521.14/x
  3. Step 3: Cross multiply
    9,057.78x = 12,493.20 × 5,521.14
  4. Step 4: Simplify right side
    9,057.78x = 68,976,706.25
  5. Step 5: Solve for x
    x = 68,976,706.25/9,057.78
  6. Step 6: Final answer
    x = 7,615.19

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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.