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Finding the Fourth Proportional to 6,019.24, 9,034.38 and 3,831.88

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Solution

The fourth proportional to 6,019.24, 9,034.38 and 3,831.88 is: 5,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019.24 : 9,034.38 = 3,831.88 : x
  2. Step 2: Convert to fraction form
    6,019.24/9,034.38 = 3,831.88/x
  3. Step 3: Cross multiply
    6,019.24x = 9,034.38 × 3,831.88
  4. Step 4: Simplify right side
    6,019.24x = 34,618,660.03
  5. Step 5: Solve for x
    x = 34,618,660.03/6,019.24
  6. Step 6: Final answer
    x = 5,751.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.