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Finding the Fourth Proportional to 9,940.20, 14,894.10 and 8,287.80

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Solution

The fourth proportional to 9,940.20, 14,894.10 and 8,287.80 is: 12,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.20 : 14,894.10 = 8,287.80 : x
  2. Step 2: Convert to fraction form
    9,940.20/14,894.10 = 8,287.80/x
  3. Step 3: Cross multiply
    9,940.20x = 14,894.10 × 8,287.80
  4. Step 4: Simplify right side
    9,940.20x = 123,439,321.98
  5. Step 5: Solve for x
    x = 123,439,321.98/9,940.20
  6. Step 6: Final answer
    x = 12,418.19

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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.