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Finding the Fourth Proportional to 6,840.42, 9,439.12 and 3,855.98

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Solution

The fourth proportional to 6,840.42, 9,439.12 and 3,855.98 is: 5,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.42 : 9,439.12 = 3,855.98 : x
  2. Step 2: Convert to fraction form
    6,840.42/9,439.12 = 3,855.98/x
  3. Step 3: Cross multiply
    6,840.42x = 9,439.12 × 3,855.98
  4. Step 4: Simplify right side
    6,840.42x = 36,397,057.94
  5. Step 5: Solve for x
    x = 36,397,057.94/6,840.42
  6. Step 6: Final answer
    x = 5,320.88

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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.