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Finding the Fourth Proportional to 6,376.39, 9,546.84 and 3,249.66

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Solution

The fourth proportional to 6,376.39, 9,546.84 and 3,249.66 is: 4,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.39 : 9,546.84 = 3,249.66 : x
  2. Step 2: Convert to fraction form
    6,376.39/9,546.84 = 3,249.66/x
  3. Step 3: Cross multiply
    6,376.39x = 9,546.84 × 3,249.66
  4. Step 4: Simplify right side
    6,376.39x = 31,023,984.07
  5. Step 5: Solve for x
    x = 31,023,984.07/6,376.39
  6. Step 6: Final answer
    x = 4,865.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.