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Finding the Fourth Proportional to 9,819.28, 14,728.92 and 8,084.26

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Solution

The fourth proportional to 9,819.28, 14,728.92 and 8,084.26 is: 12,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.28 : 14,728.92 = 8,084.26 : x
  2. Step 2: Convert to fraction form
    9,819.28/14,728.92 = 8,084.26/x
  3. Step 3: Cross multiply
    9,819.28x = 14,728.92 × 8,084.26
  4. Step 4: Simplify right side
    9,819.28x = 119,072,418.80
  5. Step 5: Solve for x
    x = 119,072,418.80/9,819.28
  6. Step 6: Final answer
    x = 12,126.39

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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.