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Finding the Fourth Proportional to 6,982.92, 9,636.15 and 3,839.07

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Solution

The fourth proportional to 6,982.92, 9,636.15 and 3,839.07 is: 5,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.92 : 9,636.15 = 3,839.07 : x
  2. Step 2: Convert to fraction form
    6,982.92/9,636.15 = 3,839.07/x
  3. Step 3: Cross multiply
    6,982.92x = 9,636.15 × 3,839.07
  4. Step 4: Simplify right side
    6,982.92x = 36,993,854.38
  5. Step 5: Solve for x
    x = 36,993,854.38/6,982.92
  6. Step 6: Final answer
    x = 5,297.76

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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.