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Finding the Fourth Proportional to 6,097.89, 9,151.00 and 2,811.02

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Solution

The fourth proportional to 6,097.89, 9,151.00 and 2,811.02 is: 4,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.89 : 9,151.00 = 2,811.02 : x
  2. Step 2: Convert to fraction form
    6,097.89/9,151.00 = 2,811.02/x
  3. Step 3: Cross multiply
    6,097.89x = 9,151.00 × 2,811.02
  4. Step 4: Simplify right side
    6,097.89x = 25,723,591.24
  5. Step 5: Solve for x
    x = 25,723,591.24/6,097.89
  6. Step 6: Final answer
    x = 4,218.44

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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.