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Finding the Fourth Proportional to 6,284.97, 9,424.71 and 3,163.02

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Solution

The fourth proportional to 6,284.97, 9,424.71 and 3,163.02 is: 4,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.97 : 9,424.71 = 3,163.02 : x
  2. Step 2: Convert to fraction form
    6,284.97/9,424.71 = 3,163.02/x
  3. Step 3: Cross multiply
    6,284.97x = 9,424.71 × 3,163.02
  4. Step 4: Simplify right side
    6,284.97x = 29,810,546.22
  5. Step 5: Solve for x
    x = 29,810,546.22/6,284.97
  6. Step 6: Final answer
    x = 4,743.15

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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.