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Finding the Fourth Proportional to 6,909.78, 10,339.14 and 4,138.40

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Solution

The fourth proportional to 6,909.78, 10,339.14 and 4,138.40 is: 6,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.78 : 10,339.14 = 4,138.40 : x
  2. Step 2: Convert to fraction form
    6,909.78/10,339.14 = 4,138.40/x
  3. Step 3: Cross multiply
    6,909.78x = 10,339.14 × 4,138.40
  4. Step 4: Simplify right side
    6,909.78x = 42,787,496.98
  5. Step 5: Solve for x
    x = 42,787,496.98/6,909.78
  6. Step 6: Final answer
    x = 6,192.31

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