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Finding the Fourth Proportional to 9,767.60, 13,481.16 and 6,234.80

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Solution

The fourth proportional to 9,767.60, 13,481.16 and 6,234.80 is: 8,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.60 : 13,481.16 = 6,234.80 : x
  2. Step 2: Convert to fraction form
    9,767.60/13,481.16 = 6,234.80/x
  3. Step 3: Cross multiply
    9,767.60x = 13,481.16 × 6,234.80
  4. Step 4: Simplify right side
    9,767.60x = 84,052,336.37
  5. Step 5: Solve for x
    x = 84,052,336.37/9,767.60
  6. Step 6: Final answer
    x = 8,605.22

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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.