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Finding the Fourth Proportional to 6,294.78, 9,446.46 and 2,190.78

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Solution

The fourth proportional to 6,294.78, 9,446.46 and 2,190.78 is: 3,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.78 : 9,446.46 = 2,190.78 : x
  2. Step 2: Convert to fraction form
    6,294.78/9,446.46 = 2,190.78/x
  3. Step 3: Cross multiply
    6,294.78x = 9,446.46 × 2,190.78
  4. Step 4: Simplify right side
    6,294.78x = 20,695,115.64
  5. Step 5: Solve for x
    x = 20,695,115.64/6,294.78
  6. Step 6: Final answer
    x = 3,287.66

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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.