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Finding the Fourth Proportional to 6,906.14, 9,530.48 and 3,762.26

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Solution

The fourth proportional to 6,906.14, 9,530.48 and 3,762.26 is: 5,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.14 : 9,530.48 = 3,762.26 : x
  2. Step 2: Convert to fraction form
    6,906.14/9,530.48 = 3,762.26/x
  3. Step 3: Cross multiply
    6,906.14x = 9,530.48 × 3,762.26
  4. Step 4: Simplify right side
    6,906.14x = 35,856,105.44
  5. Step 5: Solve for x
    x = 35,856,105.44/6,906.14
  6. Step 6: Final answer
    x = 5,191.92

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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.