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Finding the Fourth Proportional to 6,541.75, 9,805.92 and 3,420.10

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Solution

The fourth proportional to 6,541.75, 9,805.92 and 3,420.10 is: 5,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.75 : 9,805.92 = 3,420.10 : x
  2. Step 2: Convert to fraction form
    6,541.75/9,805.92 = 3,420.10/x
  3. Step 3: Cross multiply
    6,541.75x = 9,805.92 × 3,420.10
  4. Step 4: Simplify right side
    6,541.75x = 33,537,226.99
  5. Step 5: Solve for x
    x = 33,537,226.99/6,541.75
  6. Step 6: Final answer
    x = 5,126.64

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