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Finding the Fourth Proportional to 6,136.79, 9,206.67 and 1,977.20

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Solution

The fourth proportional to 6,136.79, 9,206.67 and 1,977.20 is: 2,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.79 : 9,206.67 = 1,977.20 : x
  2. Step 2: Convert to fraction form
    6,136.79/9,206.67 = 1,977.20/x
  3. Step 3: Cross multiply
    6,136.79x = 9,206.67 × 1,977.20
  4. Step 4: Simplify right side
    6,136.79x = 18,203,381.89
  5. Step 5: Solve for x
    x = 18,203,381.89/6,136.79
  6. Step 6: Final answer
    x = 2,966.27

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