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Finding the Fourth Proportional to 27,937.92, 41,908.18 and 9,219.60

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Solution

The fourth proportional to 27,937.92, 41,908.18 and 9,219.60 is: 13,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.92 : 41,908.18 = 9,219.60 : x
  2. Step 2: Convert to fraction form
    27,937.92/41,908.18 = 9,219.60/x
  3. Step 3: Cross multiply
    27,937.92x = 41,908.18 × 9,219.60
  4. Step 4: Simplify right side
    27,937.92x = 386,376,656.33
  5. Step 5: Solve for x
    x = 386,376,656.33/27,937.92
  6. Step 6: Final answer
    x = 13,829.83

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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.