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Finding the Fourth Proportional to 6,138.12, 9,208.47 and 1,978.55

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Solution

The fourth proportional to 6,138.12, 9,208.47 and 1,978.55 is: 2,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.12 : 9,208.47 = 1,978.55 : x
  2. Step 2: Convert to fraction form
    6,138.12/9,208.47 = 1,978.55/x
  3. Step 3: Cross multiply
    6,138.12x = 9,208.47 × 1,978.55
  4. Step 4: Simplify right side
    6,138.12x = 18,219,424.82
  5. Step 5: Solve for x
    x = 18,219,424.82/6,138.12
  6. Step 6: Final answer
    x = 2,968.24

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