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Finding the Fourth Proportional to 6,578.06, 9,865.76 and 2,416.64

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Solution

The fourth proportional to 6,578.06, 9,865.76 and 2,416.64 is: 3,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.06 : 9,865.76 = 2,416.64 : x
  2. Step 2: Convert to fraction form
    6,578.06/9,865.76 = 2,416.64/x
  3. Step 3: Cross multiply
    6,578.06x = 9,865.76 × 2,416.64
  4. Step 4: Simplify right side
    6,578.06x = 23,841,990.25
  5. Step 5: Solve for x
    x = 23,841,990.25/6,578.06
  6. Step 6: Final answer
    x = 3,624.47

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