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Finding the Fourth Proportional to 6,442.80, 9,664.32 and 5,159.76

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Solution

The fourth proportional to 6,442.80, 9,664.32 and 5,159.76 is: 7,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.80 : 9,664.32 = 5,159.76 : x
  2. Step 2: Convert to fraction form
    6,442.80/9,664.32 = 5,159.76/x
  3. Step 3: Cross multiply
    6,442.80x = 9,664.32 × 5,159.76
  4. Step 4: Simplify right side
    6,442.80x = 49,865,571.76
  5. Step 5: Solve for x
    x = 49,865,571.76/6,442.80
  6. Step 6: Final answer
    x = 7,739.74

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