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Finding the Fourth Proportional to 6,204.75, 9,307.05 and 1,524.83

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Solution

The fourth proportional to 6,204.75, 9,307.05 and 1,524.83 is: 2,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.75 : 9,307.05 = 1,524.83 : x
  2. Step 2: Convert to fraction form
    6,204.75/9,307.05 = 1,524.83/x
  3. Step 3: Cross multiply
    6,204.75x = 9,307.05 × 1,524.83
  4. Step 4: Simplify right side
    6,204.75x = 14,191,625.38
  5. Step 5: Solve for x
    x = 14,191,625.38/6,204.75
  6. Step 6: Final answer
    x = 2,287.22

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