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Finding the Fourth Proportional to 6,180.93, 9,268.32 and 3,843.87

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Solution

The fourth proportional to 6,180.93, 9,268.32 and 3,843.87 is: 5,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.93 : 9,268.32 = 3,843.87 : x
  2. Step 2: Convert to fraction form
    6,180.93/9,268.32 = 3,843.87/x
  3. Step 3: Cross multiply
    6,180.93x = 9,268.32 × 3,843.87
  4. Step 4: Simplify right side
    6,180.93x = 35,626,217.20
  5. Step 5: Solve for x
    x = 35,626,217.20/6,180.93
  6. Step 6: Final answer
    x = 5,763.89

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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.