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Finding the Fourth Proportional to 6,966.74, 9,614.16 and 3,982.70

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Solution

The fourth proportional to 6,966.74, 9,614.16 and 3,982.70 is: 5,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.74 : 9,614.16 = 3,982.70 : x
  2. Step 2: Convert to fraction form
    6,966.74/9,614.16 = 3,982.70/x
  3. Step 3: Cross multiply
    6,966.74x = 9,614.16 × 3,982.70
  4. Step 4: Simplify right side
    6,966.74x = 38,290,315.03
  5. Step 5: Solve for x
    x = 38,290,315.03/6,966.74
  6. Step 6: Final answer
    x = 5,496.16

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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.