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Finding the Fourth Proportional to 6,906.27, 9,530.46 and 3,762.48

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Solution

The fourth proportional to 6,906.27, 9,530.46 and 3,762.48 is: 5,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.27 : 9,530.46 = 3,762.48 : x
  2. Step 2: Convert to fraction form
    6,906.27/9,530.46 = 3,762.48/x
  3. Step 3: Cross multiply
    6,906.27x = 9,530.46 × 3,762.48
  4. Step 4: Simplify right side
    6,906.27x = 35,858,165.14
  5. Step 5: Solve for x
    x = 35,858,165.14/6,906.27
  6. Step 6: Final answer
    x = 5,192.12

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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.