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Finding the Fourth Proportional to 9,452.82, 14,179.35 and 3,296.82

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Solution

The fourth proportional to 9,452.82, 14,179.35 and 3,296.82 is: 4,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.82 : 14,179.35 = 3,296.82 : x
  2. Step 2: Convert to fraction form
    9,452.82/14,179.35 = 3,296.82/x
  3. Step 3: Cross multiply
    9,452.82x = 14,179.35 × 3,296.82
  4. Step 4: Simplify right side
    9,452.82x = 46,746,764.67
  5. Step 5: Solve for x
    x = 46,746,764.67/9,452.82
  6. Step 6: Final answer
    x = 4,945.27

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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.