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Finding the Fourth Proportional to 7,217.96, 9,960.82 and 4,233.85

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Solution

The fourth proportional to 7,217.96, 9,960.82 and 4,233.85 is: 5,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.96 : 9,960.82 = 4,233.85 : x
  2. Step 2: Convert to fraction form
    7,217.96/9,960.82 = 4,233.85/x
  3. Step 3: Cross multiply
    7,217.96x = 9,960.82 × 4,233.85
  4. Step 4: Simplify right side
    7,217.96x = 42,172,582.27
  5. Step 5: Solve for x
    x = 42,172,582.27/7,217.96
  6. Step 6: Final answer
    x = 5,842.73

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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.