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Finding the Fourth Proportional to 6,204.52, 9,309.98 and 2,744.20

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Solution

The fourth proportional to 6,204.52, 9,309.98 and 2,744.20 is: 4,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.52 : 9,309.98 = 2,744.20 : x
  2. Step 2: Convert to fraction form
    6,204.52/9,309.98 = 2,744.20/x
  3. Step 3: Cross multiply
    6,204.52x = 9,309.98 × 2,744.20
  4. Step 4: Simplify right side
    6,204.52x = 25,548,447.12
  5. Step 5: Solve for x
    x = 25,548,447.12/6,204.52
  6. Step 6: Final answer
    x = 4,117.72

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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.