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Finding the Fourth Proportional to 6,517.98, 9,770.04 and 2,134.26

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Solution

The fourth proportional to 6,517.98, 9,770.04 and 2,134.26 is: 3,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.98 : 9,770.04 = 2,134.26 : x
  2. Step 2: Convert to fraction form
    6,517.98/9,770.04 = 2,134.26/x
  3. Step 3: Cross multiply
    6,517.98x = 9,770.04 × 2,134.26
  4. Step 4: Simplify right side
    6,517.98x = 20,851,805.57
  5. Step 5: Solve for x
    x = 20,851,805.57/6,517.98
  6. Step 6: Final answer
    x = 3,199.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.