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Finding the Fourth Proportional to 6,711.80, 9,262.57 and 3,727.91

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Solution

The fourth proportional to 6,711.80, 9,262.57 and 3,727.91 is: 5,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.80 : 9,262.57 = 3,727.91 : x
  2. Step 2: Convert to fraction form
    6,711.80/9,262.57 = 3,727.91/x
  3. Step 3: Cross multiply
    6,711.80x = 9,262.57 × 3,727.91
  4. Step 4: Simplify right side
    6,711.80x = 34,529,996.05
  5. Step 5: Solve for x
    x = 34,529,996.05/6,711.80
  6. Step 6: Final answer
    x = 5,144.67

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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.