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Finding the Fourth Proportional to 6,338.85, 9,494.41 and 3,213.49

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Solution

The fourth proportional to 6,338.85, 9,494.41 and 3,213.49 is: 4,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.85 : 9,494.41 = 3,213.49 : x
  2. Step 2: Convert to fraction form
    6,338.85/9,494.41 = 3,213.49/x
  3. Step 3: Cross multiply
    6,338.85x = 9,494.41 × 3,213.49
  4. Step 4: Simplify right side
    6,338.85x = 30,510,191.59
  5. Step 5: Solve for x
    x = 30,510,191.59/6,338.85
  6. Step 6: Final answer
    x = 4,813.21

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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.