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Finding the Fourth Proportional to 6,711.72, 9,262 and 3,727.56

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Solution

The fourth proportional to 6,711.72, 9,262 and 3,727.56 is: 5,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.72 : 9,262 = 3,727.56 : x
  2. Step 2: Convert to fraction form
    6,711.72/9,262 = 3,727.56/x
  3. Step 3: Cross multiply
    6,711.72x = 9,262 × 3,727.56
  4. Step 4: Simplify right side
    6,711.72x = 34,524,660.72
  5. Step 5: Solve for x
    x = 34,524,660.72/6,711.72
  6. Step 6: Final answer
    x = 5,143.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.