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Finding the Fourth Proportional to 6,338.97, 9,505.98 and 2,178.18

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Solution

The fourth proportional to 6,338.97, 9,505.98 and 2,178.18 is: 3,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.97 : 9,505.98 = 2,178.18 : x
  2. Step 2: Convert to fraction form
    6,338.97/9,505.98 = 2,178.18/x
  3. Step 3: Cross multiply
    6,338.97x = 9,505.98 × 2,178.18
  4. Step 4: Simplify right side
    6,338.97x = 20,705,735.52
  5. Step 5: Solve for x
    x = 20,705,735.52/6,338.97
  6. Step 6: Final answer
    x = 3,266.42

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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.