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Finding the Fourth Proportional to 6,982.85, 9,635.26 and 4,149.18

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Solution

The fourth proportional to 6,982.85, 9,635.26 and 4,149.18 is: 5,725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.85 : 9,635.26 = 4,149.18 : x
  2. Step 2: Convert to fraction form
    6,982.85/9,635.26 = 4,149.18/x
  3. Step 3: Cross multiply
    6,982.85x = 9,635.26 × 4,149.18
  4. Step 4: Simplify right side
    6,982.85x = 39,978,428.09
  5. Step 5: Solve for x
    x = 39,978,428.09/6,982.85
  6. Step 6: Final answer
    x = 5,725.23

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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.