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Finding the Fourth Proportional to 6,163.74, 9,244.73 and 2,003.80

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Solution

The fourth proportional to 6,163.74, 9,244.73 and 2,003.80 is: 3,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.74 : 9,244.73 = 2,003.80 : x
  2. Step 2: Convert to fraction form
    6,163.74/9,244.73 = 2,003.80/x
  3. Step 3: Cross multiply
    6,163.74x = 9,244.73 × 2,003.80
  4. Step 4: Simplify right side
    6,163.74x = 18,524,589.97
  5. Step 5: Solve for x
    x = 18,524,589.97/6,163.74
  6. Step 6: Final answer
    x = 3,005.41

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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.