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Finding the Fourth Proportional to 27,947.07, 41,911.71 and 9,223.62

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Solution

The fourth proportional to 27,947.07, 41,911.71 and 9,223.62 is: 13,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947.07 : 41,911.71 = 9,223.62 : x
  2. Step 2: Convert to fraction form
    27,947.07/41,911.71 = 9,223.62/x
  3. Step 3: Cross multiply
    27,947.07x = 41,911.71 × 9,223.62
  4. Step 4: Simplify right side
    27,947.07x = 386,577,686.59
  5. Step 5: Solve for x
    x = 386,577,686.59/27,947.07
  6. Step 6: Final answer
    x = 13,832.49

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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.