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Finding the Fourth Proportional to 6,268.14, 9,402.21 and 1,651.14

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Solution

The fourth proportional to 6,268.14, 9,402.21 and 1,651.14 is: 2,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.14 : 9,402.21 = 1,651.14 : x
  2. Step 2: Convert to fraction form
    6,268.14/9,402.21 = 1,651.14/x
  3. Step 3: Cross multiply
    6,268.14x = 9,402.21 × 1,651.14
  4. Step 4: Simplify right side
    6,268.14x = 15,524,365.02
  5. Step 5: Solve for x
    x = 15,524,365.02/6,268.14
  6. Step 6: Final answer
    x = 2,476.71

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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.