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Finding the Fourth Proportional to 27,391.51, 41,062.59 and 9,849

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Solution

The fourth proportional to 27,391.51, 41,062.59 and 9,849 is: 14,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,391.51 : 41,062.59 = 9,849 : x
  2. Step 2: Convert to fraction form
    27,391.51/41,062.59 = 9,849/x
  3. Step 3: Cross multiply
    27,391.51x = 41,062.59 × 9,849
  4. Step 4: Simplify right side
    27,391.51x = 404,425,448.91
  5. Step 5: Solve for x
    x = 404,425,448.91/27,391.51
  6. Step 6: Final answer
    x = 14,764.63

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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.