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Finding the Fourth Proportional to 27,847.52, 41,767.04 and 9,127.52

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Solution

The fourth proportional to 27,847.52, 41,767.04 and 9,127.52 is: 13,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.52 : 41,767.04 = 9,127.52 : x
  2. Step 2: Convert to fraction form
    27,847.52/41,767.04 = 9,127.52/x
  3. Step 3: Cross multiply
    27,847.52x = 41,767.04 × 9,127.52
  4. Step 4: Simplify right side
    27,847.52x = 381,229,492.94
  5. Step 5: Solve for x
    x = 381,229,492.94/27,847.52
  6. Step 6: Final answer
    x = 13,689.89

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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.