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Finding the Fourth Proportional to 27,814.88, 41,728.82 and 9,095.80

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Solution

The fourth proportional to 27,814.88, 41,728.82 and 9,095.80 is: 13,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.88 : 41,728.82 = 9,095.80 : x
  2. Step 2: Convert to fraction form
    27,814.88/41,728.82 = 9,095.80/x
  3. Step 3: Cross multiply
    27,814.88x = 41,728.82 × 9,095.80
  4. Step 4: Simplify right side
    27,814.88x = 379,557,000.96
  5. Step 5: Solve for x
    x = 379,557,000.96/27,814.88
  6. Step 6: Final answer
    x = 13,645.83

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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.