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Finding the Fourth Proportional to 27,630.44, 41,451.42 and 9,161

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Solution

The fourth proportional to 27,630.44, 41,451.42 and 9,161 is: 13,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,630.44 : 41,451.42 = 9,161 : x
  2. Step 2: Convert to fraction form
    27,630.44/41,451.42 = 9,161/x
  3. Step 3: Cross multiply
    27,630.44x = 41,451.42 × 9,161
  4. Step 4: Simplify right side
    27,630.44x = 379,736,458.62
  5. Step 5: Solve for x
    x = 379,736,458.62/27,630.44
  6. Step 6: Final answer
    x = 13,743.41

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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.