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Finding the Fourth Proportional to 6,711.94, 9,262.60 and 3,728.05

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Solution

The fourth proportional to 6,711.94, 9,262.60 and 3,728.05 is: 5,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.94 : 9,262.60 = 3,728.05 : x
  2. Step 2: Convert to fraction form
    6,711.94/9,262.60 = 3,728.05/x
  3. Step 3: Cross multiply
    6,711.94x = 9,262.60 × 3,728.05
  4. Step 4: Simplify right side
    6,711.94x = 34,531,426.61
  5. Step 5: Solve for x
    x = 34,531,426.61/6,711.94
  6. Step 6: Final answer
    x = 5,144.78

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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.