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Finding the Fourth Proportional to 6,288.09, 9,422.90 and 3,163.80

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Solution

The fourth proportional to 6,288.09, 9,422.90 and 3,163.80 is: 4,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.09 : 9,422.90 = 3,163.80 : x
  2. Step 2: Convert to fraction form
    6,288.09/9,422.90 = 3,163.80/x
  3. Step 3: Cross multiply
    6,288.09x = 9,422.90 × 3,163.80
  4. Step 4: Simplify right side
    6,288.09x = 29,812,149.40
  5. Step 5: Solve for x
    x = 29,812,149.40/6,288.09
  6. Step 6: Final answer
    x = 4,741.05

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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.