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Finding the Fourth Proportional to 6,329.87, 9,496.86 and 3,043.22

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Solution

The fourth proportional to 6,329.87, 9,496.86 and 3,043.22 is: 4,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.87 : 9,496.86 = 3,043.22 : x
  2. Step 2: Convert to fraction form
    6,329.87/9,496.86 = 3,043.22/x
  3. Step 3: Cross multiply
    6,329.87x = 9,496.86 × 3,043.22
  4. Step 4: Simplify right side
    6,329.87x = 28,901,058.03
  5. Step 5: Solve for x
    x = 28,901,058.03/6,329.87
  6. Step 6: Final answer
    x = 4,565.82

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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.