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Finding the Fourth Proportional to 9,500.28, 14,249.09 and 3,260.19

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Solution

The fourth proportional to 9,500.28, 14,249.09 and 3,260.19 is: 4,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.28 : 14,249.09 = 3,260.19 : x
  2. Step 2: Convert to fraction form
    9,500.28/14,249.09 = 3,260.19/x
  3. Step 3: Cross multiply
    9,500.28x = 14,249.09 × 3,260.19
  4. Step 4: Simplify right side
    9,500.28x = 46,454,724.43
  5. Step 5: Solve for x
    x = 46,454,724.43/9,500.28
  6. Step 6: Final answer
    x = 4,889.83

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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.