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Finding the Fourth Proportional to 6,198.89, 9,297.82 and 1,816.38

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Solution

The fourth proportional to 6,198.89, 9,297.82 and 1,816.38 is: 2,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.89 : 9,297.82 = 1,816.38 : x
  2. Step 2: Convert to fraction form
    6,198.89/9,297.82 = 1,816.38/x
  3. Step 3: Cross multiply
    6,198.89x = 9,297.82 × 1,816.38
  4. Step 4: Simplify right side
    6,198.89x = 16,888,376.56
  5. Step 5: Solve for x
    x = 16,888,376.56/6,198.89
  6. Step 6: Final answer
    x = 2,724.42

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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.