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Finding the Fourth Proportional to 6,749.89, 9,314.86 and 3,765.64

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Solution

The fourth proportional to 6,749.89, 9,314.86 and 3,765.64 is: 5,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.89 : 9,314.86 = 3,765.64 : x
  2. Step 2: Convert to fraction form
    6,749.89/9,314.86 = 3,765.64/x
  3. Step 3: Cross multiply
    6,749.89x = 9,314.86 × 3,765.64
  4. Step 4: Simplify right side
    6,749.89x = 35,076,409.41
  5. Step 5: Solve for x
    x = 35,076,409.41/6,749.89
  6. Step 6: Final answer
    x = 5,196.59

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