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Finding the Fourth Proportional to 6,728.97, 9,286.03 and 4,074.53

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Solution

The fourth proportional to 6,728.97, 9,286.03 and 4,074.53 is: 5,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.97 : 9,286.03 = 4,074.53 : x
  2. Step 2: Convert to fraction form
    6,728.97/9,286.03 = 4,074.53/x
  3. Step 3: Cross multiply
    6,728.97x = 9,286.03 × 4,074.53
  4. Step 4: Simplify right side
    6,728.97x = 37,836,236.12
  5. Step 5: Solve for x
    x = 37,836,236.12/6,728.97
  6. Step 6: Final answer
    x = 5,622.89

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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.