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Finding the Fourth Proportional to 6,723.88, 9,278.72 and 3,739.84

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Solution

The fourth proportional to 6,723.88, 9,278.72 and 3,739.84 is: 5,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.88 : 9,278.72 = 3,739.84 : x
  2. Step 2: Convert to fraction form
    6,723.88/9,278.72 = 3,739.84/x
  3. Step 3: Cross multiply
    6,723.88x = 9,278.72 × 3,739.84
  4. Step 4: Simplify right side
    6,723.88x = 34,700,928.20
  5. Step 5: Solve for x
    x = 34,700,928.20/6,723.88
  6. Step 6: Final answer
    x = 5,160.85

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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.