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Finding the Fourth Proportional to 4,642.64, 6,964.86 and 4,177.89

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Solution

The fourth proportional to 4,642.64, 6,964.86 and 4,177.89 is: 6,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.64 : 6,964.86 = 4,177.89 : x
  2. Step 2: Convert to fraction form
    4,642.64/6,964.86 = 4,177.89/x
  3. Step 3: Cross multiply
    4,642.64x = 6,964.86 × 4,177.89
  4. Step 4: Simplify right side
    4,642.64x = 29,098,418.95
  5. Step 5: Solve for x
    x = 29,098,418.95/4,642.64
  6. Step 6: Final answer
    x = 6,267.65

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