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Finding the Fourth Proportional to 6,966.82, 9,613.96 and 3,982.93

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Solution

The fourth proportional to 6,966.82, 9,613.96 and 3,982.93 is: 5,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.82 : 9,613.96 = 3,982.93 : x
  2. Step 2: Convert to fraction form
    6,966.82/9,613.96 = 3,982.93/x
  3. Step 3: Cross multiply
    6,966.82x = 9,613.96 × 3,982.93
  4. Step 4: Simplify right side
    6,966.82x = 38,291,729.70
  5. Step 5: Solve for x
    x = 38,291,729.70/6,966.82
  6. Step 6: Final answer
    x = 5,496.30

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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.