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Finding the Fourth Proportional to 6,611.06, 9,911.34 and 3,276.97

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Solution

The fourth proportional to 6,611.06, 9,911.34 and 3,276.97 is: 4,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.06 : 9,911.34 = 3,276.97 : x
  2. Step 2: Convert to fraction form
    6,611.06/9,911.34 = 3,276.97/x
  3. Step 3: Cross multiply
    6,611.06x = 9,911.34 × 3,276.97
  4. Step 4: Simplify right side
    6,611.06x = 32,479,139.06
  5. Step 5: Solve for x
    x = 32,479,139.06/6,611.06
  6. Step 6: Final answer
    x = 4,912.85

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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.