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Finding the Fourth Proportional to 6,724.50, 9,279.81 and 3,780.50

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Solution

The fourth proportional to 6,724.50, 9,279.81 and 3,780.50 is: 5,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.50 : 9,279.81 = 3,780.50 : x
  2. Step 2: Convert to fraction form
    6,724.50/9,279.81 = 3,780.50/x
  3. Step 3: Cross multiply
    6,724.50x = 9,279.81 × 3,780.50
  4. Step 4: Simplify right side
    6,724.50x = 35,082,321.71
  5. Step 5: Solve for x
    x = 35,082,321.71/6,724.50
  6. Step 6: Final answer
    x = 5,217.09

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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.