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Finding the Fourth Proportional to 9,903.27, 14,846.75 and 8,049.75

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Solution

The fourth proportional to 9,903.27, 14,846.75 and 8,049.75 is: 12,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.27 : 14,846.75 = 8,049.75 : x
  2. Step 2: Convert to fraction form
    9,903.27/14,846.75 = 8,049.75/x
  3. Step 3: Cross multiply
    9,903.27x = 14,846.75 × 8,049.75
  4. Step 4: Simplify right side
    9,903.27x = 119,512,585.56
  5. Step 5: Solve for x
    x = 119,512,585.56/9,903.27
  6. Step 6: Final answer
    x = 12,067.99

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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.