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Finding the Fourth Proportional to 27,971.38, 41,946.45 and 9,245.80

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Solution

The fourth proportional to 27,971.38, 41,946.45 and 9,245.80 is: 13,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.38 : 41,946.45 = 9,245.80 : x
  2. Step 2: Convert to fraction form
    27,971.38/41,946.45 = 9,245.80/x
  3. Step 3: Cross multiply
    27,971.38x = 41,946.45 × 9,245.80
  4. Step 4: Simplify right side
    27,971.38x = 387,828,487.41
  5. Step 5: Solve for x
    x = 387,828,487.41/27,971.38
  6. Step 6: Final answer
    x = 13,865.19

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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.