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Finding the Fourth Proportional to 9,633.76, 14,428.46 and 4,942.24

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Solution

The fourth proportional to 9,633.76, 14,428.46 and 4,942.24 is: 7,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.76 : 14,428.46 = 4,942.24 : x
  2. Step 2: Convert to fraction form
    9,633.76/14,428.46 = 4,942.24/x
  3. Step 3: Cross multiply
    9,633.76x = 14,428.46 × 4,942.24
  4. Step 4: Simplify right side
    9,633.76x = 71,308,888.43
  5. Step 5: Solve for x
    x = 71,308,888.43/9,633.76
  6. Step 6: Final answer
    x = 7,401.98

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