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Finding the Fourth Proportional to 6,442.14, 9,642.15 and 3,978.96

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Solution

The fourth proportional to 6,442.14, 9,642.15 and 3,978.96 is: 5,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.14 : 9,642.15 = 3,978.96 : x
  2. Step 2: Convert to fraction form
    6,442.14/9,642.15 = 3,978.96/x
  3. Step 3: Cross multiply
    6,442.14x = 9,642.15 × 3,978.96
  4. Step 4: Simplify right side
    6,442.14x = 38,365,729.16
  5. Step 5: Solve for x
    x = 38,365,729.16/6,442.14
  6. Step 6: Final answer
    x = 5,955.43

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