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Finding the Fourth Proportional to 9,211.92, 13,817.84 and 2,286.42

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Solution

The fourth proportional to 9,211.92, 13,817.84 and 2,286.42 is: 3,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.92 : 13,817.84 = 2,286.42 : x
  2. Step 2: Convert to fraction form
    9,211.92/13,817.84 = 2,286.42/x
  3. Step 3: Cross multiply
    9,211.92x = 13,817.84 × 2,286.42
  4. Step 4: Simplify right side
    9,211.92x = 31,593,385.73
  5. Step 5: Solve for x
    x = 31,593,385.73/9,211.92
  6. Step 6: Final answer
    x = 3,429.62

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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.