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Finding the Fourth Proportional to 9,961.26, 13,731.44 and 8,189.79

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Solution

The fourth proportional to 9,961.26, 13,731.44 and 8,189.79 is: 11,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.26 : 13,731.44 = 8,189.79 : x
  2. Step 2: Convert to fraction form
    9,961.26/13,731.44 = 8,189.79/x
  3. Step 3: Cross multiply
    9,961.26x = 13,731.44 × 8,189.79
  4. Step 4: Simplify right side
    9,961.26x = 112,457,569.05
  5. Step 5: Solve for x
    x = 112,457,569.05/9,961.26
  6. Step 6: Final answer
    x = 11,289.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.