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Finding the Fourth Proportional to 7,091.56, 9,787.26 and 3,948.76

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Solution

The fourth proportional to 7,091.56, 9,787.26 and 3,948.76 is: 5,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.56 : 9,787.26 = 3,948.76 : x
  2. Step 2: Convert to fraction form
    7,091.56/9,787.26 = 3,948.76/x
  3. Step 3: Cross multiply
    7,091.56x = 9,787.26 × 3,948.76
  4. Step 4: Simplify right side
    7,091.56x = 38,647,540.80
  5. Step 5: Solve for x
    x = 38,647,540.80/7,091.56
  6. Step 6: Final answer
    x = 5,449.79

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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.