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Finding the Fourth Proportional to 6,135.84, 9,207.60 and 5,742.24

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Solution

The fourth proportional to 6,135.84, 9,207.60 and 5,742.24 is: 8,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.84 : 9,207.60 = 5,742.24 : x
  2. Step 2: Convert to fraction form
    6,135.84/9,207.60 = 5,742.24/x
  3. Step 3: Cross multiply
    6,135.84x = 9,207.60 × 5,742.24
  4. Step 4: Simplify right side
    6,135.84x = 52,872,249.02
  5. Step 5: Solve for x
    x = 52,872,249.02/6,135.84
  6. Step 6: Final answer
    x = 8,616.95

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