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Finding the Fourth Proportional to 10,105.86, 13,845.09 and 9,727.08

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Solution

The fourth proportional to 10,105.86, 13,845.09 and 9,727.08 is: 13,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.86 : 13,845.09 = 9,727.08 : x
  2. Step 2: Convert to fraction form
    10,105.86/13,845.09 = 9,727.08/x
  3. Step 3: Cross multiply
    10,105.86x = 13,845.09 × 9,727.08
  4. Step 4: Simplify right side
    10,105.86x = 134,672,356.97
  5. Step 5: Solve for x
    x = 134,672,356.97/10,105.86
  6. Step 6: Final answer
    x = 13,326.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.