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Finding the Fourth Proportional to 8,643.37, 12,964.97 and 3,962.05

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Solution

The fourth proportional to 8,643.37, 12,964.97 and 3,962.05 is: 5,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.37 : 12,964.97 = 3,962.05 : x
  2. Step 2: Convert to fraction form
    8,643.37/12,964.97 = 3,962.05/x
  3. Step 3: Cross multiply
    8,643.37x = 12,964.97 × 3,962.05
  4. Step 4: Simplify right side
    8,643.37x = 51,367,859.39
  5. Step 5: Solve for x
    x = 51,367,859.39/8,643.37
  6. Step 6: Final answer
    x = 5,943.04

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