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Finding the Fourth Proportional to 6,284.73, 9,426.48 and 3,163.49

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Solution

The fourth proportional to 6,284.73, 9,426.48 and 3,163.49 is: 4,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.73 : 9,426.48 = 3,163.49 : x
  2. Step 2: Convert to fraction form
    6,284.73/9,426.48 = 3,163.49/x
  3. Step 3: Cross multiply
    6,284.73x = 9,426.48 × 3,163.49
  4. Step 4: Simplify right side
    6,284.73x = 29,820,575.22
  5. Step 5: Solve for x
    x = 29,820,575.22/6,284.73
  6. Step 6: Final answer
    x = 4,744.93

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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.