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Finding the Fourth Proportional to 6,982.46, 9,633.04 and 3,996.70

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Solution

The fourth proportional to 6,982.46, 9,633.04 and 3,996.70 is: 5,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.46 : 9,633.04 = 3,996.70 : x
  2. Step 2: Convert to fraction form
    6,982.46/9,633.04 = 3,996.70/x
  3. Step 3: Cross multiply
    6,982.46x = 9,633.04 × 3,996.70
  4. Step 4: Simplify right side
    6,982.46x = 38,500,370.97
  5. Step 5: Solve for x
    x = 38,500,370.97/6,982.46
  6. Step 6: Final answer
    x = 5,513.87

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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.