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Finding the Fourth Proportional to 6,906.27, 9,530.66 and 3,762.46

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Solution

The fourth proportional to 6,906.27, 9,530.66 and 3,762.46 is: 5,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.27 : 9,530.66 = 3,762.46 : x
  2. Step 2: Convert to fraction form
    6,906.27/9,530.66 = 3,762.46/x
  3. Step 3: Cross multiply
    6,906.27x = 9,530.66 × 3,762.46
  4. Step 4: Simplify right side
    6,906.27x = 35,858,684.38
  5. Step 5: Solve for x
    x = 35,858,684.38/6,906.27
  6. Step 6: Final answer
    x = 5,192.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.