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Finding the Fourth Proportional to 6,284.87, 9,431.28 and 3,513.37

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Solution

The fourth proportional to 6,284.87, 9,431.28 and 3,513.37 is: 5,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.87 : 9,431.28 = 3,513.37 : x
  2. Step 2: Convert to fraction form
    6,284.87/9,431.28 = 3,513.37/x
  3. Step 3: Cross multiply
    6,284.87x = 9,431.28 × 3,513.37
  4. Step 4: Simplify right side
    6,284.87x = 33,135,553.67
  5. Step 5: Solve for x
    x = 33,135,553.67/6,284.87
  6. Step 6: Final answer
    x = 5,272.27

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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.