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Finding the Fourth Proportional to 6,183.25, 9,276.08 and 2,287.69

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Solution

The fourth proportional to 6,183.25, 9,276.08 and 2,287.69 is: 3,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.25 : 9,276.08 = 2,287.69 : x
  2. Step 2: Convert to fraction form
    6,183.25/9,276.08 = 2,287.69/x
  3. Step 3: Cross multiply
    6,183.25x = 9,276.08 × 2,287.69
  4. Step 4: Simplify right side
    6,183.25x = 21,220,795.46
  5. Step 5: Solve for x
    x = 21,220,795.46/6,183.25
  6. Step 6: Final answer
    x = 3,431.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.