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Finding the Fourth Proportional to 6,506.86, 9,758.67 and 2,609.14

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Solution

The fourth proportional to 6,506.86, 9,758.67 and 2,609.14 is: 3,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.86 : 9,758.67 = 2,609.14 : x
  2. Step 2: Convert to fraction form
    6,506.86/9,758.67 = 2,609.14/x
  3. Step 3: Cross multiply
    6,506.86x = 9,758.67 × 2,609.14
  4. Step 4: Simplify right side
    6,506.86x = 25,461,736.24
  5. Step 5: Solve for x
    x = 25,461,736.24/6,506.86
  6. Step 6: Final answer
    x = 3,913.06

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