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Finding the Fourth Proportional to 9,736.56, 14,587.56 and 5,114.16

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Solution

The fourth proportional to 9,736.56, 14,587.56 and 5,114.16 is: 7,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.56 : 14,587.56 = 5,114.16 : x
  2. Step 2: Convert to fraction form
    9,736.56/14,587.56 = 5,114.16/x
  3. Step 3: Cross multiply
    9,736.56x = 14,587.56 × 5,114.16
  4. Step 4: Simplify right side
    9,736.56x = 74,603,115.85
  5. Step 5: Solve for x
    x = 74,603,115.85/9,736.56
  6. Step 6: Final answer
    x = 7,662.16

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