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Finding the Fourth Proportional to 6,723.85, 9,278.20 and 3,739.20

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Solution

The fourth proportional to 6,723.85, 9,278.20 and 3,739.20 is: 5,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.85 : 9,278.20 = 3,739.20 : x
  2. Step 2: Convert to fraction form
    6,723.85/9,278.20 = 3,739.20/x
  3. Step 3: Cross multiply
    6,723.85x = 9,278.20 × 3,739.20
  4. Step 4: Simplify right side
    6,723.85x = 34,693,036.09
  5. Step 5: Solve for x
    x = 34,693,036.09/6,723.85
  6. Step 6: Final answer
    x = 5,159.70

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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.