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Finding the Fourth Proportional to 6,231.70, 9,351.42 and 2,338.84

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Solution

The fourth proportional to 6,231.70, 9,351.42 and 2,338.84 is: 3,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.70 : 9,351.42 = 2,338.84 : x
  2. Step 2: Convert to fraction form
    6,231.70/9,351.42 = 2,338.84/x
  3. Step 3: Cross multiply
    6,231.70x = 9,351.42 × 2,338.84
  4. Step 4: Simplify right side
    6,231.70x = 21,871,475.15
  5. Step 5: Solve for x
    x = 21,871,475.15/6,231.70
  6. Step 6: Final answer
    x = 3,509.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.