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Finding the Fourth Proportional to 6,839.46, 9,438.24 and 3,855.22

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Solution

The fourth proportional to 6,839.46, 9,438.24 and 3,855.22 is: 5,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.46 : 9,438.24 = 3,855.22 : x
  2. Step 2: Convert to fraction form
    6,839.46/9,438.24 = 3,855.22/x
  3. Step 3: Cross multiply
    6,839.46x = 9,438.24 × 3,855.22
  4. Step 4: Simplify right side
    6,839.46x = 36,386,491.61
  5. Step 5: Solve for x
    x = 36,386,491.61/6,839.46
  6. Step 6: Final answer
    x = 5,320.08

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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.