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Finding the Fourth Proportional to 6,981, 9,633.80 and 3,996.88

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Solution

The fourth proportional to 6,981, 9,633.80 and 3,996.88 is: 5,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981 : 9,633.80 = 3,996.88 : x
  2. Step 2: Convert to fraction form
    6,981/9,633.80 = 3,996.88/x
  3. Step 3: Cross multiply
    6,981x = 9,633.80 × 3,996.88
  4. Step 4: Simplify right side
    6,981x = 38,505,142.54
  5. Step 5: Solve for x
    x = 38,505,142.54/6,981
  6. Step 6: Final answer
    x = 5,515.71

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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.