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Finding the Fourth Proportional to 6,564.07, 9,845.90 and 3,782.13

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Solution

The fourth proportional to 6,564.07, 9,845.90 and 3,782.13 is: 5,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.07 : 9,845.90 = 3,782.13 : x
  2. Step 2: Convert to fraction form
    6,564.07/9,845.90 = 3,782.13/x
  3. Step 3: Cross multiply
    6,564.07x = 9,845.90 × 3,782.13
  4. Step 4: Simplify right side
    6,564.07x = 37,238,453.39
  5. Step 5: Solve for x
    x = 37,238,453.39/6,564.07
  6. Step 6: Final answer
    x = 5,673.07

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