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Finding the Fourth Proportional to 6,729.59, 9,286.16 and 4,076.84

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Solution

The fourth proportional to 6,729.59, 9,286.16 and 4,076.84 is: 5,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.59 : 9,286.16 = 4,076.84 : x
  2. Step 2: Convert to fraction form
    6,729.59/9,286.16 = 4,076.84/x
  3. Step 3: Cross multiply
    6,729.59x = 9,286.16 × 4,076.84
  4. Step 4: Simplify right side
    6,729.59x = 37,858,121.72
  5. Step 5: Solve for x
    x = 37,858,121.72/6,729.59
  6. Step 6: Final answer
    x = 5,625.63

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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.