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Finding the Fourth Proportional to 6,361.65, 9,542.88 and 2,664.32

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Solution

The fourth proportional to 6,361.65, 9,542.88 and 2,664.32 is: 3,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.65 : 9,542.88 = 2,664.32 : x
  2. Step 2: Convert to fraction form
    6,361.65/9,542.88 = 2,664.32/x
  3. Step 3: Cross multiply
    6,361.65x = 9,542.88 × 2,664.32
  4. Step 4: Simplify right side
    6,361.65x = 25,425,238.33
  5. Step 5: Solve for x
    x = 25,425,238.33/6,361.65
  6. Step 6: Final answer
    x = 3,996.64

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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.