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Finding the Fourth Proportional to 27,863, 41,794.54 and 9,395

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Solution

The fourth proportional to 27,863, 41,794.54 and 9,395 is: 14,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863 : 41,794.54 = 9,395 : x
  2. Step 2: Convert to fraction form
    27,863/41,794.54 = 9,395/x
  3. Step 3: Cross multiply
    27,863x = 41,794.54 × 9,395
  4. Step 4: Simplify right side
    27,863x = 392,659,703.30
  5. Step 5: Solve for x
    x = 392,659,703.30/27,863
  6. Step 6: Final answer
    x = 14,092.51

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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.