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Finding the Fourth Proportional to 9,217.42, 13,826.11 and 7,359.83

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Solution

The fourth proportional to 9,217.42, 13,826.11 and 7,359.83 is: 11,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.42 : 13,826.11 = 7,359.83 : x
  2. Step 2: Convert to fraction form
    9,217.42/13,826.11 = 7,359.83/x
  3. Step 3: Cross multiply
    9,217.42x = 13,826.11 × 7,359.83
  4. Step 4: Simplify right side
    9,217.42x = 101,757,819.16
  5. Step 5: Solve for x
    x = 101,757,819.16/9,217.42
  6. Step 6: Final answer
    x = 11,039.73

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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.