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Finding the Fourth Proportional to 6,138.56, 9,208.07 and 1,978.63

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Solution

The fourth proportional to 6,138.56, 9,208.07 and 1,978.63 is: 2,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.56 : 9,208.07 = 1,978.63 : x
  2. Step 2: Convert to fraction form
    6,138.56/9,208.07 = 1,978.63/x
  3. Step 3: Cross multiply
    6,138.56x = 9,208.07 × 1,978.63
  4. Step 4: Simplify right side
    6,138.56x = 18,219,369.51
  5. Step 5: Solve for x
    x = 18,219,369.51/6,138.56
  6. Step 6: Final answer
    x = 2,968.02

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