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Finding the Fourth Proportional to 6,338.16, 9,504.80 and 2,829.24

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Solution

The fourth proportional to 6,338.16, 9,504.80 and 2,829.24 is: 4,242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.16 : 9,504.80 = 2,829.24 : x
  2. Step 2: Convert to fraction form
    6,338.16/9,504.80 = 2,829.24/x
  3. Step 3: Cross multiply
    6,338.16x = 9,504.80 × 2,829.24
  4. Step 4: Simplify right side
    6,338.16x = 26,891,360.35
  5. Step 5: Solve for x
    x = 26,891,360.35/6,338.16
  6. Step 6: Final answer
    x = 4,242.77

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