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Finding the Fourth Proportional to 9,564.85, 13,197.44 and 5,584.16

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Solution

The fourth proportional to 9,564.85, 13,197.44 and 5,584.16 is: 7,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.85 : 13,197.44 = 5,584.16 : x
  2. Step 2: Convert to fraction form
    9,564.85/13,197.44 = 5,584.16/x
  3. Step 3: Cross multiply
    9,564.85x = 13,197.44 × 5,584.16
  4. Step 4: Simplify right side
    9,564.85x = 73,696,522.64
  5. Step 5: Solve for x
    x = 73,696,522.64/9,564.85
  6. Step 6: Final answer
    x = 7,704.93

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