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Finding the Fourth Proportional to 6,512.95, 9,766.78 and 2,069.09

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Solution

The fourth proportional to 6,512.95, 9,766.78 and 2,069.09 is: 3,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.95 : 9,766.78 = 2,069.09 : x
  2. Step 2: Convert to fraction form
    6,512.95/9,766.78 = 2,069.09/x
  3. Step 3: Cross multiply
    6,512.95x = 9,766.78 × 2,069.09
  4. Step 4: Simplify right side
    6,512.95x = 20,208,346.83
  5. Step 5: Solve for x
    x = 20,208,346.83/6,512.95
  6. Step 6: Final answer
    x = 3,102.79

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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.