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Finding the Fourth Proportional to 6,831.41, 9,427.93 and 3,847.82

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Solution

The fourth proportional to 6,831.41, 9,427.93 and 3,847.82 is: 5,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.41 : 9,427.93 = 3,847.82 : x
  2. Step 2: Convert to fraction form
    6,831.41/9,427.93 = 3,847.82/x
  3. Step 3: Cross multiply
    6,831.41x = 9,427.93 × 3,847.82
  4. Step 4: Simplify right side
    6,831.41x = 36,276,973.89
  5. Step 5: Solve for x
    x = 36,276,973.89/6,831.41
  6. Step 6: Final answer
    x = 5,310.32

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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.