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Finding the Fourth Proportional to 6,294.89, 9,441.85 and 1,912.37

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Solution

The fourth proportional to 6,294.89, 9,441.85 and 1,912.37 is: 2,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.89 : 9,441.85 = 1,912.37 : x
  2. Step 2: Convert to fraction form
    6,294.89/9,441.85 = 1,912.37/x
  3. Step 3: Cross multiply
    6,294.89x = 9,441.85 × 1,912.37
  4. Step 4: Simplify right side
    6,294.89x = 18,056,310.68
  5. Step 5: Solve for x
    x = 18,056,310.68/6,294.89
  6. Step 6: Final answer
    x = 2,868.41

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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.