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Finding the Fourth Proportional to 27,893.97, 41,846.12 and 9,174.77

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Solution

The fourth proportional to 27,893.97, 41,846.12 and 9,174.77 is: 13,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893.97 : 41,846.12 = 9,174.77 : x
  2. Step 2: Convert to fraction form
    27,893.97/41,846.12 = 9,174.77/x
  3. Step 3: Cross multiply
    27,893.97x = 41,846.12 × 9,174.77
  4. Step 4: Simplify right side
    27,893.97x = 383,928,462.62
  5. Step 5: Solve for x
    x = 383,928,462.62/27,893.97
  6. Step 6: Final answer
    x = 13,763.85

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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.