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Finding the Fourth Proportional to 9,282.10, 13,912.35 and 3,732.70

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Solution

The fourth proportional to 9,282.10, 13,912.35 and 3,732.70 is: 5,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.10 : 13,912.35 = 3,732.70 : x
  2. Step 2: Convert to fraction form
    9,282.10/13,912.35 = 3,732.70/x
  3. Step 3: Cross multiply
    9,282.10x = 13,912.35 × 3,732.70
  4. Step 4: Simplify right side
    9,282.10x = 51,930,628.85
  5. Step 5: Solve for x
    x = 51,930,628.85/9,282.10
  6. Step 6: Final answer
    x = 5,594.71

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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.