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Finding the Fourth Proportional to 6,982.90, 9,636.42 and 3,796.18

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Solution

The fourth proportional to 6,982.90, 9,636.42 and 3,796.18 is: 5,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.90 : 9,636.42 = 3,796.18 : x
  2. Step 2: Convert to fraction form
    6,982.90/9,636.42 = 3,796.18/x
  3. Step 3: Cross multiply
    6,982.90x = 9,636.42 × 3,796.18
  4. Step 4: Simplify right side
    6,982.90x = 36,581,584.88
  5. Step 5: Solve for x
    x = 36,581,584.88/6,982.90
  6. Step 6: Final answer
    x = 5,238.74

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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.