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Finding the Fourth Proportional to 7,092.44, 9,787.20 and 3,948.80

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Solution

The fourth proportional to 7,092.44, 9,787.20 and 3,948.80 is: 5,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.44 : 9,787.20 = 3,948.80 : x
  2. Step 2: Convert to fraction form
    7,092.44/9,787.20 = 3,948.80/x
  3. Step 3: Cross multiply
    7,092.44x = 9,787.20 × 3,948.80
  4. Step 4: Simplify right side
    7,092.44x = 38,647,695.36
  5. Step 5: Solve for x
    x = 38,647,695.36/7,092.44
  6. Step 6: Final answer
    x = 5,449.14

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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.