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Finding the Fourth Proportional to 6,564.75, 9,836.16 and 4,613.46

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Solution

The fourth proportional to 6,564.75, 9,836.16 and 4,613.46 is: 6,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.75 : 9,836.16 = 4,613.46 : x
  2. Step 2: Convert to fraction form
    6,564.75/9,836.16 = 4,613.46/x
  3. Step 3: Cross multiply
    6,564.75x = 9,836.16 × 4,613.46
  4. Step 4: Simplify right side
    6,564.75x = 45,378,730.71
  5. Step 5: Solve for x
    x = 45,378,730.71/6,564.75
  6. Step 6: Final answer
    x = 6,912.48

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