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Finding the Fourth Proportional to 27,892.94, 41,846 and 9,173.04

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Solution

The fourth proportional to 27,892.94, 41,846 and 9,173.04 is: 13,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.94 : 41,846 = 9,173.04 : x
  2. Step 2: Convert to fraction form
    27,892.94/41,846 = 9,173.04/x
  3. Step 3: Cross multiply
    27,892.94x = 41,846 × 9,173.04
  4. Step 4: Simplify right side
    27,892.94x = 383,855,031.84
  5. Step 5: Solve for x
    x = 383,855,031.84/27,892.94
  6. Step 6: Final answer
    x = 13,761.73

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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.