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Finding the Fourth Proportional to 6,829.78, 9,416.64 and 4,467.82

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Solution

The fourth proportional to 6,829.78, 9,416.64 and 4,467.82 is: 6,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.78 : 9,416.64 = 4,467.82 : x
  2. Step 2: Convert to fraction form
    6,829.78/9,416.64 = 4,467.82/x
  3. Step 3: Cross multiply
    6,829.78x = 9,416.64 × 4,467.82
  4. Step 4: Simplify right side
    6,829.78x = 42,071,852.52
  5. Step 5: Solve for x
    x = 42,071,852.52/6,829.78
  6. Step 6: Final answer
    x = 6,160.06

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