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Finding the Fourth Proportional to 9,664.29, 13,335.66 and 5,686.65

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Solution

The fourth proportional to 9,664.29, 13,335.66 and 5,686.65 is: 7,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.29 : 13,335.66 = 5,686.65 : x
  2. Step 2: Convert to fraction form
    9,664.29/13,335.66 = 5,686.65/x
  3. Step 3: Cross multiply
    9,664.29x = 13,335.66 × 5,686.65
  4. Step 4: Simplify right side
    9,664.29x = 75,835,230.94
  5. Step 5: Solve for x
    x = 75,835,230.94/9,664.29
  6. Step 6: Final answer
    x = 7,846.95

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