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Finding the Fourth Proportional to 6,945.92, 10,423.14 and 3,661.40

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Solution

The fourth proportional to 6,945.92, 10,423.14 and 3,661.40 is: 5,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.92 : 10,423.14 = 3,661.40 : x
  2. Step 2: Convert to fraction form
    6,945.92/10,423.14 = 3,661.40/x
  3. Step 3: Cross multiply
    6,945.92x = 10,423.14 × 3,661.40
  4. Step 4: Simplify right side
    6,945.92x = 38,163,284.80
  5. Step 5: Solve for x
    x = 38,163,284.80/6,945.92
  6. Step 6: Final answer
    x = 5,494.35

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