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Finding the Fourth Proportional to 6,137.58, 9,204.82 and 1,978.02

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Solution

The fourth proportional to 6,137.58, 9,204.82 and 1,978.02 is: 2,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.58 : 9,204.82 = 1,978.02 : x
  2. Step 2: Convert to fraction form
    6,137.58/9,204.82 = 1,978.02/x
  3. Step 3: Cross multiply
    6,137.58x = 9,204.82 × 1,978.02
  4. Step 4: Simplify right side
    6,137.58x = 18,207,318.06
  5. Step 5: Solve for x
    x = 18,207,318.06/6,137.58
  6. Step 6: Final answer
    x = 2,966.53

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