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Finding the Fourth Proportional to 6,142.57, 9,213.77 and 3,678.07

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Solution

The fourth proportional to 6,142.57, 9,213.77 and 3,678.07 is: 5,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.57 : 9,213.77 = 3,678.07 : x
  2. Step 2: Convert to fraction form
    6,142.57/9,213.77 = 3,678.07/x
  3. Step 3: Cross multiply
    6,142.57x = 9,213.77 × 3,678.07
  4. Step 4: Simplify right side
    6,142.57x = 33,888,826.56
  5. Step 5: Solve for x
    x = 33,888,826.56/6,142.57
  6. Step 6: Final answer
    x = 5,517.05

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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.