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Finding the Fourth Proportional to 6,471.29, 9,707.12 and 1,791.33

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Solution

The fourth proportional to 6,471.29, 9,707.12 and 1,791.33 is: 2,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.29 : 9,707.12 = 1,791.33 : x
  2. Step 2: Convert to fraction form
    6,471.29/9,707.12 = 1,791.33/x
  3. Step 3: Cross multiply
    6,471.29x = 9,707.12 × 1,791.33
  4. Step 4: Simplify right side
    6,471.29x = 17,388,655.27
  5. Step 5: Solve for x
    x = 17,388,655.27/6,471.29
  6. Step 6: Final answer
    x = 2,687.05

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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.