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Finding the Fourth Proportional to 6,644.01, 9,168.62 and 3,811.26

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Solution

The fourth proportional to 6,644.01, 9,168.62 and 3,811.26 is: 5,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.01 : 9,168.62 = 3,811.26 : x
  2. Step 2: Convert to fraction form
    6,644.01/9,168.62 = 3,811.26/x
  3. Step 3: Cross multiply
    6,644.01x = 9,168.62 × 3,811.26
  4. Step 4: Simplify right side
    6,644.01x = 34,943,958.35
  5. Step 5: Solve for x
    x = 34,943,958.35/6,644.01
  6. Step 6: Final answer
    x = 5,259.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.