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Finding the Fourth Proportional to 6,721.38, 9,284.22 and 5,786.64

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Solution

The fourth proportional to 6,721.38, 9,284.22 and 5,786.64 is: 7,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.38 : 9,284.22 = 5,786.64 : x
  2. Step 2: Convert to fraction form
    6,721.38/9,284.22 = 5,786.64/x
  3. Step 3: Cross multiply
    6,721.38x = 9,284.22 × 5,786.64
  4. Step 4: Simplify right side
    6,721.38x = 53,724,438.82
  5. Step 5: Solve for x
    x = 53,724,438.82/6,721.38
  6. Step 6: Final answer
    x = 7,993.07

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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.