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Finding the Fourth Proportional to 9,771.75, 13,481.82 and 6,236.10

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Solution

The fourth proportional to 9,771.75, 13,481.82 and 6,236.10 is: 8,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.75 : 13,481.82 = 6,236.10 : x
  2. Step 2: Convert to fraction form
    9,771.75/13,481.82 = 6,236.10/x
  3. Step 3: Cross multiply
    9,771.75x = 13,481.82 × 6,236.10
  4. Step 4: Simplify right side
    9,771.75x = 84,073,977.70
  5. Step 5: Solve for x
    x = 84,073,977.70/9,771.75
  6. Step 6: Final answer
    x = 8,603.78

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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.