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Finding the Fourth Proportional to 27,462.29, 41,182.77 and 9,447.09

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Solution

The fourth proportional to 27,462.29, 41,182.77 and 9,447.09 is: 14,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462.29 : 41,182.77 = 9,447.09 : x
  2. Step 2: Convert to fraction form
    27,462.29/41,182.77 = 9,447.09/x
  3. Step 3: Cross multiply
    27,462.29x = 41,182.77 × 9,447.09
  4. Step 4: Simplify right side
    27,462.29x = 389,057,334.64
  5. Step 5: Solve for x
    x = 389,057,334.64/27,462.29
  6. Step 6: Final answer
    x = 14,166.97

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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.