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Finding the Fourth Proportional to 27,645.48, 41,470.14 and 9,177

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Solution

The fourth proportional to 27,645.48, 41,470.14 and 9,177 is: 13,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645.48 : 41,470.14 = 9,177 : x
  2. Step 2: Convert to fraction form
    27,645.48/41,470.14 = 9,177/x
  3. Step 3: Cross multiply
    27,645.48x = 41,470.14 × 9,177
  4. Step 4: Simplify right side
    27,645.48x = 380,571,474.78
  5. Step 5: Solve for x
    x = 380,571,474.78/27,645.48
  6. Step 6: Final answer
    x = 13,766.14

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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.