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Finding the Fourth Proportional to 9,286.80, 13,942.56 and 5,394

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Solution

The fourth proportional to 9,286.80, 13,942.56 and 5,394 is: 8,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.80 : 13,942.56 = 5,394 : x
  2. Step 2: Convert to fraction form
    9,286.80/13,942.56 = 5,394/x
  3. Step 3: Cross multiply
    9,286.80x = 13,942.56 × 5,394
  4. Step 4: Simplify right side
    9,286.80x = 75,206,168.64
  5. Step 5: Solve for x
    x = 75,206,168.64/9,286.80
  6. Step 6: Final answer
    x = 8,098.18

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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.