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Finding the Fourth Proportional to 7,122.66, 9,827.34 and 3,978.78

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Solution

The fourth proportional to 7,122.66, 9,827.34 and 3,978.78 is: 5,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.66 : 9,827.34 = 3,978.78 : x
  2. Step 2: Convert to fraction form
    7,122.66/9,827.34 = 3,978.78/x
  3. Step 3: Cross multiply
    7,122.66x = 9,827.34 × 3,978.78
  4. Step 4: Simplify right side
    7,122.66x = 39,100,823.85
  5. Step 5: Solve for x
    x = 39,100,823.85/7,122.66
  6. Step 6: Final answer
    x = 5,489.64

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