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Finding the Fourth Proportional to 6,723.50, 9,278.31 and 3,739.31

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Solution

The fourth proportional to 6,723.50, 9,278.31 and 3,739.31 is: 5,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.50 : 9,278.31 = 3,739.31 : x
  2. Step 2: Convert to fraction form
    6,723.50/9,278.31 = 3,739.31/x
  3. Step 3: Cross multiply
    6,723.50x = 9,278.31 × 3,739.31
  4. Step 4: Simplify right side
    6,723.50x = 34,694,477.37
  5. Step 5: Solve for x
    x = 34,694,477.37/6,723.50
  6. Step 6: Final answer
    x = 5,160.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.