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Finding the Fourth Proportional to 6,815.24, 9,404.90 and 3,831.03

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Solution

The fourth proportional to 6,815.24, 9,404.90 and 3,831.03 is: 5,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.24 : 9,404.90 = 3,831.03 : x
  2. Step 2: Convert to fraction form
    6,815.24/9,404.90 = 3,831.03/x
  3. Step 3: Cross multiply
    6,815.24x = 9,404.90 × 3,831.03
  4. Step 4: Simplify right side
    6,815.24x = 36,030,454.05
  5. Step 5: Solve for x
    x = 36,030,454.05/6,815.24
  6. Step 6: Final answer
    x = 5,286.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.