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Finding the Fourth Proportional to 6,284.77, 9,427.01 and 3,163.94

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Solution

The fourth proportional to 6,284.77, 9,427.01 and 3,163.94 is: 4,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.77 : 9,427.01 = 3,163.94 : x
  2. Step 2: Convert to fraction form
    6,284.77/9,427.01 = 3,163.94/x
  3. Step 3: Cross multiply
    6,284.77x = 9,427.01 × 3,163.94
  4. Step 4: Simplify right side
    6,284.77x = 29,826,490.15
  5. Step 5: Solve for x
    x = 29,826,490.15/6,284.77
  6. Step 6: Final answer
    x = 4,745.84

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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.