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Finding the Fourth Proportional to 6,831.70, 9,427.17 and 3,847.30

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Solution

The fourth proportional to 6,831.70, 9,427.17 and 3,847.30 is: 5,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.70 : 9,427.17 = 3,847.30 : x
  2. Step 2: Convert to fraction form
    6,831.70/9,427.17 = 3,847.30/x
  3. Step 3: Cross multiply
    6,831.70x = 9,427.17 × 3,847.30
  4. Step 4: Simplify right side
    6,831.70x = 36,269,151.14
  5. Step 5: Solve for x
    x = 36,269,151.14/6,831.70
  6. Step 6: Final answer
    x = 5,308.95

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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.