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Finding the Fourth Proportional to 6,204.23, 9,284.88 and 3,831.33

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Solution

The fourth proportional to 6,204.23, 9,284.88 and 3,831.33 is: 5,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.23 : 9,284.88 = 3,831.33 : x
  2. Step 2: Convert to fraction form
    6,204.23/9,284.88 = 3,831.33/x
  3. Step 3: Cross multiply
    6,204.23x = 9,284.88 × 3,831.33
  4. Step 4: Simplify right side
    6,204.23x = 35,573,439.29
  5. Step 5: Solve for x
    x = 35,573,439.29/6,204.23
  6. Step 6: Final answer
    x = 5,733.74

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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.