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Finding the Fourth Proportional to 27,862, 41,793.04 and 9,394

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Solution

The fourth proportional to 27,862, 41,793.04 and 9,394 is: 14,091.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862 : 41,793.04 = 9,394 : x
  2. Step 2: Convert to fraction form
    27,862/41,793.04 = 9,394/x
  3. Step 3: Cross multiply
    27,862x = 41,793.04 × 9,394
  4. Step 4: Simplify right side
    27,862x = 392,603,817.76
  5. Step 5: Solve for x
    x = 392,603,817.76/27,862
  6. Step 6: Final answer
    x = 14,091.01

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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.