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Finding the Fourth Proportional to 27,897.38, 41,841.44 and 9,177.64

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Solution

The fourth proportional to 27,897.38, 41,841.44 and 9,177.64 is: 13,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.38 : 41,841.44 = 9,177.64 : x
  2. Step 2: Convert to fraction form
    27,897.38/41,841.44 = 9,177.64/x
  3. Step 3: Cross multiply
    27,897.38x = 41,841.44 × 9,177.64
  4. Step 4: Simplify right side
    27,897.38x = 384,005,673.40
  5. Step 5: Solve for x
    x = 384,005,673.40/27,897.38
  6. Step 6: Final answer
    x = 13,764.94

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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.