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Finding the Fourth Proportional to 6,814.92, 9,404.26 and 3,831.03

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Solution

The fourth proportional to 6,814.92, 9,404.26 and 3,831.03 is: 5,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.92 : 9,404.26 = 3,831.03 : x
  2. Step 2: Convert to fraction form
    6,814.92/9,404.26 = 3,831.03/x
  3. Step 3: Cross multiply
    6,814.92x = 9,404.26 × 3,831.03
  4. Step 4: Simplify right side
    6,814.92x = 36,028,002.19
  5. Step 5: Solve for x
    x = 36,028,002.19/6,814.92
  6. Step 6: Final answer
    x = 5,286.64

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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.