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Finding the Fourth Proportional to 6,201.13, 9,301.70 and 1,584.13

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Solution

The fourth proportional to 6,201.13, 9,301.70 and 1,584.13 is: 2,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.13 : 9,301.70 = 1,584.13 : x
  2. Step 2: Convert to fraction form
    6,201.13/9,301.70 = 1,584.13/x
  3. Step 3: Cross multiply
    6,201.13x = 9,301.70 × 1,584.13
  4. Step 4: Simplify right side
    6,201.13x = 14,735,102.02
  5. Step 5: Solve for x
    x = 14,735,102.02/6,201.13
  6. Step 6: Final answer
    x = 2,376.20

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