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Finding the Fourth Proportional to 9,833.28, 14,755.44 and 5,450.16

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Solution

The fourth proportional to 9,833.28, 14,755.44 and 5,450.16 is: 8,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.28 : 14,755.44 = 5,450.16 : x
  2. Step 2: Convert to fraction form
    9,833.28/14,755.44 = 5,450.16/x
  3. Step 3: Cross multiply
    9,833.28x = 14,755.44 × 5,450.16
  4. Step 4: Simplify right side
    9,833.28x = 80,419,508.87
  5. Step 5: Solve for x
    x = 80,419,508.87/9,833.28
  6. Step 6: Final answer
    x = 8,178.30

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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.