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Finding the Fourth Proportional to 6,471.27, 9,707.96 and 3,184.69

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Solution

The fourth proportional to 6,471.27, 9,707.96 and 3,184.69 is: 4,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.27 : 9,707.96 = 3,184.69 : x
  2. Step 2: Convert to fraction form
    6,471.27/9,707.96 = 3,184.69/x
  3. Step 3: Cross multiply
    6,471.27x = 9,707.96 × 3,184.69
  4. Step 4: Simplify right side
    6,471.27x = 30,916,843.13
  5. Step 5: Solve for x
    x = 30,916,843.13/6,471.27
  6. Step 6: Final answer
    x = 4,777.55

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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.