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Finding the Fourth Proportional to 27,374.17, 41,067.41 and 9,844

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Solution

The fourth proportional to 27,374.17, 41,067.41 and 9,844 is: 14,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,374.17 : 41,067.41 = 9,844 : x
  2. Step 2: Convert to fraction form
    27,374.17/41,067.41 = 9,844/x
  3. Step 3: Cross multiply
    27,374.17x = 41,067.41 × 9,844
  4. Step 4: Simplify right side
    27,374.17x = 404,267,584.04
  5. Step 5: Solve for x
    x = 404,267,584.04/27,374.17
  6. Step 6: Final answer
    x = 14,768.21

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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.