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Finding the Fourth Proportional to 9,961.77, 13,741.50 and 6,229.29

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Solution

The fourth proportional to 9,961.77, 13,741.50 and 6,229.29 is: 8,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.77 : 13,741.50 = 6,229.29 : x
  2. Step 2: Convert to fraction form
    9,961.77/13,741.50 = 6,229.29/x
  3. Step 3: Cross multiply
    9,961.77x = 13,741.50 × 6,229.29
  4. Step 4: Simplify right side
    9,961.77x = 85,599,788.54
  5. Step 5: Solve for x
    x = 85,599,788.54/9,961.77
  6. Step 6: Final answer
    x = 8,592.83

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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.