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Finding the Fourth Proportional to 6,335.94, 9,506.02 and 3,993.24

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Solution

The fourth proportional to 6,335.94, 9,506.02 and 3,993.24 is: 5,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.94 : 9,506.02 = 3,993.24 : x
  2. Step 2: Convert to fraction form
    6,335.94/9,506.02 = 3,993.24/x
  3. Step 3: Cross multiply
    6,335.94x = 9,506.02 × 3,993.24
  4. Step 4: Simplify right side
    6,335.94x = 37,959,819.30
  5. Step 5: Solve for x
    x = 37,959,819.30/6,335.94
  6. Step 6: Final answer
    x = 5,991.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.