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Finding the Fourth Proportional to 6,849.71, 10,269.77 and 3,509.75

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Solution

The fourth proportional to 6,849.71, 10,269.77 and 3,509.75 is: 5,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.71 : 10,269.77 = 3,509.75 : x
  2. Step 2: Convert to fraction form
    6,849.71/10,269.77 = 3,509.75/x
  3. Step 3: Cross multiply
    6,849.71x = 10,269.77 × 3,509.75
  4. Step 4: Simplify right side
    6,849.71x = 36,044,256.36
  5. Step 5: Solve for x
    x = 36,044,256.36/6,849.71
  6. Step 6: Final answer
    x = 5,262.16

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