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Finding the Fourth Proportional to 9,706.24, 14,566.92 and 6,765.40

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Solution

The fourth proportional to 9,706.24, 14,566.92 and 6,765.40 is: 10,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.24 : 14,566.92 = 6,765.40 : x
  2. Step 2: Convert to fraction form
    9,706.24/14,566.92 = 6,765.40/x
  3. Step 3: Cross multiply
    9,706.24x = 14,566.92 × 6,765.40
  4. Step 4: Simplify right side
    9,706.24x = 98,551,040.57
  5. Step 5: Solve for x
    x = 98,551,040.57/9,706.24
  6. Step 6: Final answer
    x = 10,153.37

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