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Finding the Fourth Proportional to 6,520.01, 9,781.44 and 2,137.31

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Solution

The fourth proportional to 6,520.01, 9,781.44 and 2,137.31 is: 3,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.01 : 9,781.44 = 2,137.31 : x
  2. Step 2: Convert to fraction form
    6,520.01/9,781.44 = 2,137.31/x
  3. Step 3: Cross multiply
    6,520.01x = 9,781.44 × 2,137.31
  4. Step 4: Simplify right side
    6,520.01x = 20,905,909.93
  5. Step 5: Solve for x
    x = 20,905,909.93/6,520.01
  6. Step 6: Final answer
    x = 3,206.42

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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.