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Finding the Fourth Proportional to 6,806.08, 9,392.28 and 3,821.92

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Solution

The fourth proportional to 6,806.08, 9,392.28 and 3,821.92 is: 5,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.08 : 9,392.28 = 3,821.92 : x
  2. Step 2: Convert to fraction form
    6,806.08/9,392.28 = 3,821.92/x
  3. Step 3: Cross multiply
    6,806.08x = 9,392.28 × 3,821.92
  4. Step 4: Simplify right side
    6,806.08x = 35,896,542.78
  5. Step 5: Solve for x
    x = 35,896,542.78/6,806.08
  6. Step 6: Final answer
    x = 5,274.19

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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.