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Finding the Fourth Proportional to 8,964.67, 13,447.71 and 2,725.22

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Solution

The fourth proportional to 8,964.67, 13,447.71 and 2,725.22 is: 4,088.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.67 : 13,447.71 = 2,725.22 : x
  2. Step 2: Convert to fraction form
    8,964.67/13,447.71 = 2,725.22/x
  3. Step 3: Cross multiply
    8,964.67x = 13,447.71 × 2,725.22
  4. Step 4: Simplify right side
    8,964.67x = 36,647,968.25
  5. Step 5: Solve for x
    x = 36,647,968.25/8,964.67
  6. Step 6: Final answer
    x = 4,088.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.