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Finding the Fourth Proportional to 6,911.70, 9,538.14 and 3,767.88

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Solution

The fourth proportional to 6,911.70, 9,538.14 and 3,767.88 is: 5,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.70 : 9,538.14 = 3,767.88 : x
  2. Step 2: Convert to fraction form
    6,911.70/9,538.14 = 3,767.88/x
  3. Step 3: Cross multiply
    6,911.70x = 9,538.14 × 3,767.88
  4. Step 4: Simplify right side
    6,911.70x = 35,938,566.94
  5. Step 5: Solve for x
    x = 35,938,566.94/6,911.70
  6. Step 6: Final answer
    x = 5,199.67

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