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Finding the Fourth Proportional to 6,831.38, 9,427.20 and 3,847.20

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Solution

The fourth proportional to 6,831.38, 9,427.20 and 3,847.20 is: 5,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.38 : 9,427.20 = 3,847.20 : x
  2. Step 2: Convert to fraction form
    6,831.38/9,427.20 = 3,847.20/x
  3. Step 3: Cross multiply
    6,831.38x = 9,427.20 × 3,847.20
  4. Step 4: Simplify right side
    6,831.38x = 36,268,323.84
  5. Step 5: Solve for x
    x = 36,268,323.84/6,831.38
  6. Step 6: Final answer
    x = 5,309.08

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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.