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Finding the Fourth Proportional to 6,854.86, 10,256.37 and 6,440.14

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Solution

The fourth proportional to 6,854.86, 10,256.37 and 6,440.14 is: 9,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.86 : 10,256.37 = 6,440.14 : x
  2. Step 2: Convert to fraction form
    6,854.86/10,256.37 = 6,440.14/x
  3. Step 3: Cross multiply
    6,854.86x = 10,256.37 × 6,440.14
  4. Step 4: Simplify right side
    6,854.86x = 66,052,458.69
  5. Step 5: Solve for x
    x = 66,052,458.69/6,854.86
  6. Step 6: Final answer
    x = 9,635.86

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