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Finding the Fourth Proportional to 9,992.71, 13,791.62 and 9,549.85

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Solution

The fourth proportional to 9,992.71, 13,791.62 and 9,549.85 is: 13,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.71 : 13,791.62 = 9,549.85 : x
  2. Step 2: Convert to fraction form
    9,992.71/13,791.62 = 9,549.85/x
  3. Step 3: Cross multiply
    9,992.71x = 13,791.62 × 9,549.85
  4. Step 4: Simplify right side
    9,992.71x = 131,707,785.55
  5. Step 5: Solve for x
    x = 131,707,785.55/9,992.71
  6. Step 6: Final answer
    x = 13,180.39

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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.