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Finding the Fourth Proportional to 6,106.42, 9,160.00 and 1,724.21

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Solution

The fourth proportional to 6,106.42, 9,160.00 and 1,724.21 is: 2,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.42 : 9,160.00 = 1,724.21 : x
  2. Step 2: Convert to fraction form
    6,106.42/9,160.00 = 1,724.21/x
  3. Step 3: Cross multiply
    6,106.42x = 9,160.00 × 1,724.21
  4. Step 4: Simplify right side
    6,106.42x = 15,793,713.49
  5. Step 5: Solve for x
    x = 15,793,713.49/6,106.42
  6. Step 6: Final answer
    x = 2,586.41

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