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Finding the Fourth Proportional to 6,206.26, 9,309.80 and 2,743.50

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Solution

The fourth proportional to 6,206.26, 9,309.80 and 2,743.50 is: 4,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.26 : 9,309.80 = 2,743.50 : x
  2. Step 2: Convert to fraction form
    6,206.26/9,309.80 = 2,743.50/x
  3. Step 3: Cross multiply
    6,206.26x = 9,309.80 × 2,743.50
  4. Step 4: Simplify right side
    6,206.26x = 25,541,436.30
  5. Step 5: Solve for x
    x = 25,541,436.30/6,206.26
  6. Step 6: Final answer
    x = 4,115.43

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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.