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Finding the Fourth Proportional to 6,142.32, 9,213.39 and 3,677.82

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Solution

The fourth proportional to 6,142.32, 9,213.39 and 3,677.82 is: 5,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.32 : 9,213.39 = 3,677.82 : x
  2. Step 2: Convert to fraction form
    6,142.32/9,213.39 = 3,677.82/x
  3. Step 3: Cross multiply
    6,142.32x = 9,213.39 × 3,677.82
  4. Step 4: Simplify right side
    6,142.32x = 33,885,190.01
  5. Step 5: Solve for x
    x = 33,885,190.01/6,142.32
  6. Step 6: Final answer
    x = 5,516.68

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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.