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Finding the Fourth Proportional to 6,982.81, 9,633.53 and 3,997.04

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Solution

The fourth proportional to 6,982.81, 9,633.53 and 3,997.04 is: 5,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.81 : 9,633.53 = 3,997.04 : x
  2. Step 2: Convert to fraction form
    6,982.81/9,633.53 = 3,997.04/x
  3. Step 3: Cross multiply
    6,982.81x = 9,633.53 × 3,997.04
  4. Step 4: Simplify right side
    6,982.81x = 38,505,566.58
  5. Step 5: Solve for x
    x = 38,505,566.58/6,982.81
  6. Step 6: Final answer
    x = 5,514.34

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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.