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Finding the Fourth Proportional to 6,831.52, 9,427.46 and 3,847.38

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Solution

The fourth proportional to 6,831.52, 9,427.46 and 3,847.38 is: 5,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.52 : 9,427.46 = 3,847.38 : x
  2. Step 2: Convert to fraction form
    6,831.52/9,427.46 = 3,847.38/x
  3. Step 3: Cross multiply
    6,831.52x = 9,427.46 × 3,847.38
  4. Step 4: Simplify right side
    6,831.52x = 36,271,021.05
  5. Step 5: Solve for x
    x = 36,271,021.05/6,831.52
  6. Step 6: Final answer
    x = 5,309.36

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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.