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Finding the Fourth Proportional to 27,813.88, 41,727.32 and 9,094.80

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Solution

The fourth proportional to 27,813.88, 41,727.32 and 9,094.80 is: 13,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.88 : 41,727.32 = 9,094.80 : x
  2. Step 2: Convert to fraction form
    27,813.88/41,727.32 = 9,094.80/x
  3. Step 3: Cross multiply
    27,813.88x = 41,727.32 × 9,094.80
  4. Step 4: Simplify right side
    27,813.88x = 379,501,629.94
  5. Step 5: Solve for x
    x = 379,501,629.94/27,813.88
  6. Step 6: Final answer
    x = 13,644.33

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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.