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Finding the Fourth Proportional to 6,168.42, 9,261.14 and 3,399.44

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Solution

The fourth proportional to 6,168.42, 9,261.14 and 3,399.44 is: 5,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.42 : 9,261.14 = 3,399.44 : x
  2. Step 2: Convert to fraction form
    6,168.42/9,261.14 = 3,399.44/x
  3. Step 3: Cross multiply
    6,168.42x = 9,261.14 × 3,399.44
  4. Step 4: Simplify right side
    6,168.42x = 31,482,626.46
  5. Step 5: Solve for x
    x = 31,482,626.46/6,168.42
  6. Step 6: Final answer
    x = 5,103.84

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