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Finding the Fourth Proportional to 10,960.64, 15,128.84 and 9,705.80

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Solution

The fourth proportional to 10,960.64, 15,128.84 and 9,705.80 is: 13,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.64 : 15,128.84 = 9,705.80 : x
  2. Step 2: Convert to fraction form
    10,960.64/15,128.84 = 9,705.80/x
  3. Step 3: Cross multiply
    10,960.64x = 15,128.84 × 9,705.80
  4. Step 4: Simplify right side
    10,960.64x = 146,837,495.27
  5. Step 5: Solve for x
    x = 146,837,495.27/10,960.64
  6. Step 6: Final answer
    x = 13,396.80

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