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Finding the Fourth Proportional to 6,966.57, 9,614.03 and 3,982.68

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Solution

The fourth proportional to 6,966.57, 9,614.03 and 3,982.68 is: 5,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.57 : 9,614.03 = 3,982.68 : x
  2. Step 2: Convert to fraction form
    6,966.57/9,614.03 = 3,982.68/x
  3. Step 3: Cross multiply
    6,966.57x = 9,614.03 × 3,982.68
  4. Step 4: Simplify right side
    6,966.57x = 38,289,585.09
  5. Step 5: Solve for x
    x = 38,289,585.09/6,966.57
  6. Step 6: Final answer
    x = 5,496.19

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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.