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Finding the Fourth Proportional to 9,694.26, 14,534.10 and 6,566.40

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Solution

The fourth proportional to 9,694.26, 14,534.10 and 6,566.40 is: 9,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.26 : 14,534.10 = 6,566.40 : x
  2. Step 2: Convert to fraction form
    9,694.26/14,534.10 = 6,566.40/x
  3. Step 3: Cross multiply
    9,694.26x = 14,534.10 × 6,566.40
  4. Step 4: Simplify right side
    9,694.26x = 95,436,714.24
  5. Step 5: Solve for x
    x = 95,436,714.24/9,694.26
  6. Step 6: Final answer
    x = 9,844.66

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