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Finding the Fourth Proportional to 8,857.63, 12,229.41 and 6,837.40

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Solution

The fourth proportional to 8,857.63, 12,229.41 and 6,837.40 is: 9,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.63 : 12,229.41 = 6,837.40 : x
  2. Step 2: Convert to fraction form
    8,857.63/12,229.41 = 6,837.40/x
  3. Step 3: Cross multiply
    8,857.63x = 12,229.41 × 6,837.40
  4. Step 4: Simplify right side
    8,857.63x = 83,617,367.93
  5. Step 5: Solve for x
    x = 83,617,367.93/8,857.63
  6. Step 6: Final answer
    x = 9,440.15

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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.