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Finding the Fourth Proportional to 6,703.38, 9,217.86 and 5,817.65

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Solution

The fourth proportional to 6,703.38, 9,217.86 and 5,817.65 is: 7,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.38 : 9,217.86 = 5,817.65 : x
  2. Step 2: Convert to fraction form
    6,703.38/9,217.86 = 5,817.65/x
  3. Step 3: Cross multiply
    6,703.38x = 9,217.86 × 5,817.65
  4. Step 4: Simplify right side
    6,703.38x = 53,626,282.15
  5. Step 5: Solve for x
    x = 53,626,282.15/6,703.38
  6. Step 6: Final answer
    x = 7,999.88

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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.