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Finding the Fourth Proportional to 6,914.72, 9,542.32 and 3,770.92

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Solution

The fourth proportional to 6,914.72, 9,542.32 and 3,770.92 is: 5,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.72 : 9,542.32 = 3,770.92 : x
  2. Step 2: Convert to fraction form
    6,914.72/9,542.32 = 3,770.92/x
  3. Step 3: Cross multiply
    6,914.72x = 9,542.32 × 3,770.92
  4. Step 4: Simplify right side
    6,914.72x = 35,983,325.33
  5. Step 5: Solve for x
    x = 35,983,325.33/6,914.72
  6. Step 6: Final answer
    x = 5,203.87

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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.