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Finding the Fourth Proportional to 6,749.76, 9,314.89 and 3,765.72

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Solution

The fourth proportional to 6,749.76, 9,314.89 and 3,765.72 is: 5,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.76 : 9,314.89 = 3,765.72 : x
  2. Step 2: Convert to fraction form
    6,749.76/9,314.89 = 3,765.72/x
  3. Step 3: Cross multiply
    6,749.76x = 9,314.89 × 3,765.72
  4. Step 4: Simplify right side
    6,749.76x = 35,077,267.57
  5. Step 5: Solve for x
    x = 35,077,267.57/6,749.76
  6. Step 6: Final answer
    x = 5,196.82

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