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Finding the Fourth Proportional to 6,541.58, 9,813.76 and 3,420.75

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Solution

The fourth proportional to 6,541.58, 9,813.76 and 3,420.75 is: 5,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.58 : 9,813.76 = 3,420.75 : x
  2. Step 2: Convert to fraction form
    6,541.58/9,813.76 = 3,420.75/x
  3. Step 3: Cross multiply
    6,541.58x = 9,813.76 × 3,420.75
  4. Step 4: Simplify right side
    6,541.58x = 33,570,419.52
  5. Step 5: Solve for x
    x = 33,570,419.52/6,541.58
  6. Step 6: Final answer
    x = 5,131.85

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