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Finding the Fourth Proportional to 6,477.82, 9,719.32 and 2,584.96

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Solution

The fourth proportional to 6,477.82, 9,719.32 and 2,584.96 is: 3,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.82 : 9,719.32 = 2,584.96 : x
  2. Step 2: Convert to fraction form
    6,477.82/9,719.32 = 2,584.96/x
  3. Step 3: Cross multiply
    6,477.82x = 9,719.32 × 2,584.96
  4. Step 4: Simplify right side
    6,477.82x = 25,124,053.43
  5. Step 5: Solve for x
    x = 25,124,053.43/6,477.82
  6. Step 6: Final answer
    x = 3,878.47

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