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Finding the Fourth Proportional to 27,894.85, 41,846.60 and 9,170.64

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Solution

The fourth proportional to 27,894.85, 41,846.60 and 9,170.64 is: 13,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.85 : 41,846.60 = 9,170.64 : x
  2. Step 2: Convert to fraction form
    27,894.85/41,846.60 = 9,170.64/x
  3. Step 3: Cross multiply
    27,894.85x = 41,846.60 × 9,170.64
  4. Step 4: Simplify right side
    27,894.85x = 383,760,126.75
  5. Step 5: Solve for x
    x = 383,760,126.75/27,894.85
  6. Step 6: Final answer
    x = 13,757.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.