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Finding the Fourth Proportional to 6,724.82, 9,280.12 and 3,740.59

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Solution

The fourth proportional to 6,724.82, 9,280.12 and 3,740.59 is: 5,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.82 : 9,280.12 = 3,740.59 : x
  2. Step 2: Convert to fraction form
    6,724.82/9,280.12 = 3,740.59/x
  3. Step 3: Cross multiply
    6,724.82x = 9,280.12 × 3,740.59
  4. Step 4: Simplify right side
    6,724.82x = 34,713,105.37
  5. Step 5: Solve for x
    x = 34,713,105.37/6,724.82
  6. Step 6: Final answer
    x = 5,161.94

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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.