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Finding the Fourth Proportional to 6,968.37, 9,613.89 and 3,982.08

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Solution

The fourth proportional to 6,968.37, 9,613.89 and 3,982.08 is: 5,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.37 : 9,613.89 = 3,982.08 : x
  2. Step 2: Convert to fraction form
    6,968.37/9,613.89 = 3,982.08/x
  3. Step 3: Cross multiply
    6,968.37x = 9,613.89 × 3,982.08
  4. Step 4: Simplify right side
    6,968.37x = 38,283,279.09
  5. Step 5: Solve for x
    x = 38,283,279.09/6,968.37
  6. Step 6: Final answer
    x = 5,493.86

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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.