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Finding the Fourth Proportional to 6,827.28, 9,422.04 and 3,843.30

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Solution

The fourth proportional to 6,827.28, 9,422.04 and 3,843.30 is: 5,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.28 : 9,422.04 = 3,843.30 : x
  2. Step 2: Convert to fraction form
    6,827.28/9,422.04 = 3,843.30/x
  3. Step 3: Cross multiply
    6,827.28x = 9,422.04 × 3,843.30
  4. Step 4: Simplify right side
    6,827.28x = 36,211,726.33
  5. Step 5: Solve for x
    x = 36,211,726.33/6,827.28
  6. Step 6: Final answer
    x = 5,303.98

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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.