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Finding the Fourth Proportional to 9,865.71, 13,616.45 and 5,832.38

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Solution

The fourth proportional to 9,865.71, 13,616.45 and 5,832.38 is: 8,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.71 : 13,616.45 = 5,832.38 : x
  2. Step 2: Convert to fraction form
    9,865.71/13,616.45 = 5,832.38/x
  3. Step 3: Cross multiply
    9,865.71x = 13,616.45 × 5,832.38
  4. Step 4: Simplify right side
    9,865.71x = 79,416,310.65
  5. Step 5: Solve for x
    x = 79,416,310.65/9,865.71
  6. Step 6: Final answer
    x = 8,049.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.