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Finding the Fourth Proportional to 6,633, 9,947.98 and 2,933.22

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Solution

The fourth proportional to 6,633, 9,947.98 and 2,933.22 is: 4,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633 : 9,947.98 = 2,933.22 : x
  2. Step 2: Convert to fraction form
    6,633/9,947.98 = 2,933.22/x
  3. Step 3: Cross multiply
    6,633x = 9,947.98 × 2,933.22
  4. Step 4: Simplify right side
    6,633x = 29,179,613.90
  5. Step 5: Solve for x
    x = 29,179,613.90/6,633
  6. Step 6: Final answer
    x = 4,399.16

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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.