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Finding the Fourth Proportional to 6,543.11, 9,816.07 and 2,099.73

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Solution

The fourth proportional to 6,543.11, 9,816.07 and 2,099.73 is: 3,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.11 : 9,816.07 = 2,099.73 : x
  2. Step 2: Convert to fraction form
    6,543.11/9,816.07 = 2,099.73/x
  3. Step 3: Cross multiply
    6,543.11x = 9,816.07 × 2,099.73
  4. Step 4: Simplify right side
    6,543.11x = 20,611,096.66
  5. Step 5: Solve for x
    x = 20,611,096.66/6,543.11
  6. Step 6: Final answer
    x = 3,150.05

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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.