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Finding the Fourth Proportional to 7,213.92, 9,933 and 6,149.30

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Solution

The fourth proportional to 7,213.92, 9,933 and 6,149.30 is: 8,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.92 : 9,933 = 6,149.30 : x
  2. Step 2: Convert to fraction form
    7,213.92/9,933 = 6,149.30/x
  3. Step 3: Cross multiply
    7,213.92x = 9,933 × 6,149.30
  4. Step 4: Simplify right side
    7,213.92x = 61,080,947.24
  5. Step 5: Solve for x
    x = 61,080,947.24/7,213.92
  6. Step 6: Final answer
    x = 8,467.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.