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Finding the Fourth Proportional to 9,382.65, 14,073.98 and 3,836.79

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Solution

The fourth proportional to 9,382.65, 14,073.98 and 3,836.79 is: 5,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.65 : 14,073.98 = 3,836.79 : x
  2. Step 2: Convert to fraction form
    9,382.65/14,073.98 = 3,836.79/x
  3. Step 3: Cross multiply
    9,382.65x = 14,073.98 × 3,836.79
  4. Step 4: Simplify right side
    9,382.65x = 53,998,886.54
  5. Step 5: Solve for x
    x = 53,998,886.54/9,382.65
  6. Step 6: Final answer
    x = 5,755.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.