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Finding the Fourth Proportional to 10,294.75, 15,462.79 and 6,142.86

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Solution

The fourth proportional to 10,294.75, 15,462.79 and 6,142.86 is: 9,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.75 : 15,462.79 = 6,142.86 : x
  2. Step 2: Convert to fraction form
    10,294.75/15,462.79 = 6,142.86/x
  3. Step 3: Cross multiply
    10,294.75x = 15,462.79 × 6,142.86
  4. Step 4: Simplify right side
    10,294.75x = 94,985,738.82
  5. Step 5: Solve for x
    x = 94,985,738.82/10,294.75
  6. Step 6: Final answer
    x = 9,226.62

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