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Finding the Fourth Proportional to 27,940.68, 41,912.47 and 9,222.17

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Solution

The fourth proportional to 27,940.68, 41,912.47 and 9,222.17 is: 13,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940.68 : 41,912.47 = 9,222.17 : x
  2. Step 2: Convert to fraction form
    27,940.68/41,912.47 = 9,222.17/x
  3. Step 3: Cross multiply
    27,940.68x = 41,912.47 × 9,222.17
  4. Step 4: Simplify right side
    27,940.68x = 386,524,005.19
  5. Step 5: Solve for x
    x = 386,524,005.19/27,940.68
  6. Step 6: Final answer
    x = 13,833.74

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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.