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Finding the Fourth Proportional to 6,477.02, 9,715.49 and 2,584.14

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Solution

The fourth proportional to 6,477.02, 9,715.49 and 2,584.14 is: 3,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.02 : 9,715.49 = 2,584.14 : x
  2. Step 2: Convert to fraction form
    6,477.02/9,715.49 = 2,584.14/x
  3. Step 3: Cross multiply
    6,477.02x = 9,715.49 × 2,584.14
  4. Step 4: Simplify right side
    6,477.02x = 25,106,186.33
  5. Step 5: Solve for x
    x = 25,106,186.33/6,477.02
  6. Step 6: Final answer
    x = 3,876.19

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