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Finding the Fourth Proportional to 12,863.57, 17,734.71 and 9,275.53

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Solution

The fourth proportional to 12,863.57, 17,734.71 and 9,275.53 is: 12,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.57 : 17,734.71 = 9,275.53 : x
  2. Step 2: Convert to fraction form
    12,863.57/17,734.71 = 9,275.53/x
  3. Step 3: Cross multiply
    12,863.57x = 17,734.71 × 9,275.53
  4. Step 4: Simplify right side
    12,863.57x = 164,498,745.97
  5. Step 5: Solve for x
    x = 164,498,745.97/12,863.57
  6. Step 6: Final answer
    x = 12,787.95

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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.