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Finding the Fourth Proportional to 6,329.13, 9,481.33 and 3,857.82

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Solution

The fourth proportional to 6,329.13, 9,481.33 and 3,857.82 is: 5,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.13 : 9,481.33 = 3,857.82 : x
  2. Step 2: Convert to fraction form
    6,329.13/9,481.33 = 3,857.82/x
  3. Step 3: Cross multiply
    6,329.13x = 9,481.33 × 3,857.82
  4. Step 4: Simplify right side
    6,329.13x = 36,577,264.50
  5. Step 5: Solve for x
    x = 36,577,264.50/6,329.13
  6. Step 6: Final answer
    x = 5,779.19

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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.