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Finding the Fourth Proportional to 6,199.56, 9,288.18 and 4,114.62

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Solution

The fourth proportional to 6,199.56, 9,288.18 and 4,114.62 is: 6,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.56 : 9,288.18 = 4,114.62 : x
  2. Step 2: Convert to fraction form
    6,199.56/9,288.18 = 4,114.62/x
  3. Step 3: Cross multiply
    6,199.56x = 9,288.18 × 4,114.62
  4. Step 4: Simplify right side
    6,199.56x = 38,217,331.19
  5. Step 5: Solve for x
    x = 38,217,331.19/6,199.56
  6. Step 6: Final answer
    x = 6,164.52

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