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Finding the Fourth Proportional to 27,937.74, 41,897.70 and 9,214.29

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Solution

The fourth proportional to 27,937.74, 41,897.70 and 9,214.29 is: 13,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.74 : 41,897.70 = 9,214.29 : x
  2. Step 2: Convert to fraction form
    27,937.74/41,897.70 = 9,214.29/x
  3. Step 3: Cross multiply
    27,937.74x = 41,897.70 × 9,214.29
  4. Step 4: Simplify right side
    27,937.74x = 386,057,302.57
  5. Step 5: Solve for x
    x = 386,057,302.57/27,937.74
  6. Step 6: Final answer
    x = 13,818.49

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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.