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Finding the Fourth Proportional to 6,839.94, 9,438.98 and 3,855.72

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Solution

The fourth proportional to 6,839.94, 9,438.98 and 3,855.72 is: 5,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.94 : 9,438.98 = 3,855.72 : x
  2. Step 2: Convert to fraction form
    6,839.94/9,438.98 = 3,855.72/x
  3. Step 3: Cross multiply
    6,839.94x = 9,438.98 × 3,855.72
  4. Step 4: Simplify right side
    6,839.94x = 36,393,997.49
  5. Step 5: Solve for x
    x = 36,393,997.49/6,839.94
  6. Step 6: Final answer
    x = 5,320.81

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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.