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Finding the Fourth Proportional to 6,442.29, 9,666.68 and 2,549.97

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Solution

The fourth proportional to 6,442.29, 9,666.68 and 2,549.97 is: 3,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.29 : 9,666.68 = 2,549.97 : x
  2. Step 2: Convert to fraction form
    6,442.29/9,666.68 = 2,549.97/x
  3. Step 3: Cross multiply
    6,442.29x = 9,666.68 × 2,549.97
  4. Step 4: Simplify right side
    6,442.29x = 24,649,731.25
  5. Step 5: Solve for x
    x = 24,649,731.25/6,442.29
  6. Step 6: Final answer
    x = 3,826.24

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