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Finding the Fourth Proportional to 6,724.32, 9,277.84 and 3,739.47

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Solution

The fourth proportional to 6,724.32, 9,277.84 and 3,739.47 is: 5,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.32 : 9,277.84 = 3,739.47 : x
  2. Step 2: Convert to fraction form
    6,724.32/9,277.84 = 3,739.47/x
  3. Step 3: Cross multiply
    6,724.32x = 9,277.84 × 3,739.47
  4. Step 4: Simplify right side
    6,724.32x = 34,694,174.23
  5. Step 5: Solve for x
    x = 34,694,174.23/6,724.32
  6. Step 6: Final answer
    x = 5,159.51

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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.