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Finding the Fourth Proportional to 6,966.42, 9,614.31 and 3,982.50

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Solution

The fourth proportional to 6,966.42, 9,614.31 and 3,982.50 is: 5,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.42 : 9,614.31 = 3,982.50 : x
  2. Step 2: Convert to fraction form
    6,966.42/9,614.31 = 3,982.50/x
  3. Step 3: Cross multiply
    6,966.42x = 9,614.31 × 3,982.50
  4. Step 4: Simplify right side
    6,966.42x = 38,288,989.58
  5. Step 5: Solve for x
    x = 38,288,989.58/6,966.42
  6. Step 6: Final answer
    x = 5,496.22

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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.