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Finding the Fourth Proportional to 6,839.40, 9,438.93 and 3,855.54

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Solution

The fourth proportional to 6,839.40, 9,438.93 and 3,855.54 is: 5,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.40 : 9,438.93 = 3,855.54 : x
  2. Step 2: Convert to fraction form
    6,839.40/9,438.93 = 3,855.54/x
  3. Step 3: Cross multiply
    6,839.40x = 9,438.93 × 3,855.54
  4. Step 4: Simplify right side
    6,839.40x = 36,392,172.17
  5. Step 5: Solve for x
    x = 36,392,172.17/6,839.40
  6. Step 6: Final answer
    x = 5,320.96

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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.