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Finding the Fourth Proportional to 8,645.37, 12,967.97 and 3,964.05

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Solution

The fourth proportional to 8,645.37, 12,967.97 and 3,964.05 is: 5,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.37 : 12,967.97 = 3,964.05 : x
  2. Step 2: Convert to fraction form
    8,645.37/12,967.97 = 3,964.05/x
  3. Step 3: Cross multiply
    8,645.37x = 12,967.97 × 3,964.05
  4. Step 4: Simplify right side
    8,645.37x = 51,405,681.48
  5. Step 5: Solve for x
    x = 51,405,681.48/8,645.37
  6. Step 6: Final answer
    x = 5,946.04

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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.