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Finding the Fourth Proportional to 6,735.72, 9,295.23 and 3,751.38

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Solution

The fourth proportional to 6,735.72, 9,295.23 and 3,751.38 is: 5,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.72 : 9,295.23 = 3,751.38 : x
  2. Step 2: Convert to fraction form
    6,735.72/9,295.23 = 3,751.38/x
  3. Step 3: Cross multiply
    6,735.72x = 9,295.23 × 3,751.38
  4. Step 4: Simplify right side
    6,735.72x = 34,869,939.92
  5. Step 5: Solve for x
    x = 34,869,939.92/6,735.72
  6. Step 6: Final answer
    x = 5,176.87

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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.