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Finding the Fourth Proportional to 6,229.26, 9,344.52 and 1,846.80

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Solution

The fourth proportional to 6,229.26, 9,344.52 and 1,846.80 is: 2,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.26 : 9,344.52 = 1,846.80 : x
  2. Step 2: Convert to fraction form
    6,229.26/9,344.52 = 1,846.80/x
  3. Step 3: Cross multiply
    6,229.26x = 9,344.52 × 1,846.80
  4. Step 4: Simplify right side
    6,229.26x = 17,257,459.54
  5. Step 5: Solve for x
    x = 17,257,459.54/6,229.26
  6. Step 6: Final answer
    x = 2,770.39

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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.