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Finding the Fourth Proportional to 6,978.86, 9,631.44 and 3,835.66

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Solution

The fourth proportional to 6,978.86, 9,631.44 and 3,835.66 is: 5,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.86 : 9,631.44 = 3,835.66 : x
  2. Step 2: Convert to fraction form
    6,978.86/9,631.44 = 3,835.66/x
  3. Step 3: Cross multiply
    6,978.86x = 9,631.44 × 3,835.66
  4. Step 4: Simplify right side
    6,978.86x = 36,942,929.15
  5. Step 5: Solve for x
    x = 36,942,929.15/6,978.86
  6. Step 6: Final answer
    x = 5,293.55

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