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Finding the Fourth Proportional to 6,295.22, 9,429.86 and 3,691.88

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Solution

The fourth proportional to 6,295.22, 9,429.86 and 3,691.88 is: 5,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.22 : 9,429.86 = 3,691.88 : x
  2. Step 2: Convert to fraction form
    6,295.22/9,429.86 = 3,691.88/x
  3. Step 3: Cross multiply
    6,295.22x = 9,429.86 × 3,691.88
  4. Step 4: Simplify right side
    6,295.22x = 34,813,845.93
  5. Step 5: Solve for x
    x = 34,813,845.93/6,295.22
  6. Step 6: Final answer
    x = 5,530.21

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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.