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Finding the Fourth Proportional to 6,579.92, 9,871.80 and 3,842

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Solution

The fourth proportional to 6,579.92, 9,871.80 and 3,842 is: 5,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.92 : 9,871.80 = 3,842 : x
  2. Step 2: Convert to fraction form
    6,579.92/9,871.80 = 3,842/x
  3. Step 3: Cross multiply
    6,579.92x = 9,871.80 × 3,842
  4. Step 4: Simplify right side
    6,579.92x = 37,927,455.60
  5. Step 5: Solve for x
    x = 37,927,455.60/6,579.92
  6. Step 6: Final answer
    x = 5,764.12

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