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Finding the Fourth Proportional to 6,309.96, 9,471.26 and 2,614.36

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Solution

The fourth proportional to 6,309.96, 9,471.26 and 2,614.36 is: 3,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.96 : 9,471.26 = 2,614.36 : x
  2. Step 2: Convert to fraction form
    6,309.96/9,471.26 = 2,614.36/x
  3. Step 3: Cross multiply
    6,309.96x = 9,471.26 × 2,614.36
  4. Step 4: Simplify right side
    6,309.96x = 24,761,283.29
  5. Step 5: Solve for x
    x = 24,761,283.29/6,309.96
  6. Step 6: Final answer
    x = 3,924.16

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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.