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Finding the Fourth Proportional to 6,442.07, 9,664.32 and 2,546.51

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Solution

The fourth proportional to 6,442.07, 9,664.32 and 2,546.51 is: 3,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.07 : 9,664.32 = 2,546.51 : x
  2. Step 2: Convert to fraction form
    6,442.07/9,664.32 = 2,546.51/x
  3. Step 3: Cross multiply
    6,442.07x = 9,664.32 × 2,546.51
  4. Step 4: Simplify right side
    6,442.07x = 24,610,287.52
  5. Step 5: Solve for x
    x = 24,610,287.52/6,442.07
  6. Step 6: Final answer
    x = 3,820.25

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