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Finding the Fourth Proportional to 6,831.93, 9,427.47 and 3,847.23

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Solution

The fourth proportional to 6,831.93, 9,427.47 and 3,847.23 is: 5,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.93 : 9,427.47 = 3,847.23 : x
  2. Step 2: Convert to fraction form
    6,831.93/9,427.47 = 3,847.23/x
  3. Step 3: Cross multiply
    6,831.93x = 9,427.47 × 3,847.23
  4. Step 4: Simplify right side
    6,831.93x = 36,269,645.41
  5. Step 5: Solve for x
    x = 36,269,645.41/6,831.93
  6. Step 6: Final answer
    x = 5,308.84

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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.