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Finding the Fourth Proportional to 9,682.38, 13,358.25 and 7,169.76

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Solution

The fourth proportional to 9,682.38, 13,358.25 and 7,169.76 is: 9,891.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.38 : 13,358.25 = 7,169.76 : x
  2. Step 2: Convert to fraction form
    9,682.38/13,358.25 = 7,169.76/x
  3. Step 3: Cross multiply
    9,682.38x = 13,358.25 × 7,169.76
  4. Step 4: Simplify right side
    9,682.38x = 95,775,446.52
  5. Step 5: Solve for x
    x = 95,775,446.52/9,682.38
  6. Step 6: Final answer
    x = 9,891.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.