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Finding the Fourth Proportional to 6,458.77, 9,688.74 and 2,562.25

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Solution

The fourth proportional to 6,458.77, 9,688.74 and 2,562.25 is: 3,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.77 : 9,688.74 = 2,562.25 : x
  2. Step 2: Convert to fraction form
    6,458.77/9,688.74 = 2,562.25/x
  3. Step 3: Cross multiply
    6,458.77x = 9,688.74 × 2,562.25
  4. Step 4: Simplify right side
    6,458.77x = 24,824,974.07
  5. Step 5: Solve for x
    x = 24,824,974.07/6,458.77
  6. Step 6: Final answer
    x = 3,843.61

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