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Finding the Fourth Proportional to 6,806.20, 9,392.56 and 3,822.32

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Solution

The fourth proportional to 6,806.20, 9,392.56 and 3,822.32 is: 5,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.20 : 9,392.56 = 3,822.32 : x
  2. Step 2: Convert to fraction form
    6,806.20/9,392.56 = 3,822.32/x
  3. Step 3: Cross multiply
    6,806.20x = 9,392.56 × 3,822.32
  4. Step 4: Simplify right side
    6,806.20x = 35,901,369.94
  5. Step 5: Solve for x
    x = 35,901,369.94/6,806.20
  6. Step 6: Final answer
    x = 5,274.80

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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.