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Finding the Fourth Proportional to 6,739.35, 9,297.66 and 4,220.38

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Solution

The fourth proportional to 6,739.35, 9,297.66 and 4,220.38 is: 5,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.35 : 9,297.66 = 4,220.38 : x
  2. Step 2: Convert to fraction form
    6,739.35/9,297.66 = 4,220.38/x
  3. Step 3: Cross multiply
    6,739.35x = 9,297.66 × 4,220.38
  4. Step 4: Simplify right side
    6,739.35x = 39,239,658.31
  5. Step 5: Solve for x
    x = 39,239,658.31/6,739.35
  6. Step 6: Final answer
    x = 5,822.47

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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.