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Finding the Fourth Proportional to 6,664.85, 9,198.04 and 3,833.14

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Solution

The fourth proportional to 6,664.85, 9,198.04 and 3,833.14 is: 5,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.85 : 9,198.04 = 3,833.14 : x
  2. Step 2: Convert to fraction form
    6,664.85/9,198.04 = 3,833.14/x
  3. Step 3: Cross multiply
    6,664.85x = 9,198.04 × 3,833.14
  4. Step 4: Simplify right side
    6,664.85x = 35,257,375.05
  5. Step 5: Solve for x
    x = 35,257,375.05/6,664.85
  6. Step 6: Final answer
    x = 5,290.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.