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Finding the Fourth Proportional to 6,822.40, 9,414.95 and 3,838.29

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Solution

The fourth proportional to 6,822.40, 9,414.95 and 3,838.29 is: 5,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.40 : 9,414.95 = 3,838.29 : x
  2. Step 2: Convert to fraction form
    6,822.40/9,414.95 = 3,838.29/x
  3. Step 3: Cross multiply
    6,822.40x = 9,414.95 × 3,838.29
  4. Step 4: Simplify right side
    6,822.40x = 36,137,275.53
  5. Step 5: Solve for x
    x = 36,137,275.53/6,822.40
  6. Step 6: Final answer
    x = 5,296.86

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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.