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Finding the Fourth Proportional to 6,734.38, 9,297.30 and 4,500.04

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Solution

The fourth proportional to 6,734.38, 9,297.30 and 4,500.04 is: 6,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.38 : 9,297.30 = 4,500.04 : x
  2. Step 2: Convert to fraction form
    6,734.38/9,297.30 = 4,500.04/x
  3. Step 3: Cross multiply
    6,734.38x = 9,297.30 × 4,500.04
  4. Step 4: Simplify right side
    6,734.38x = 41,838,221.89
  5. Step 5: Solve for x
    x = 41,838,221.89/6,734.38
  6. Step 6: Final answer
    x = 6,212.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.