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Finding the Fourth Proportional to 9,786.78, 13,506.44 and 5,537.86

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Solution

The fourth proportional to 9,786.78, 13,506.44 and 5,537.86 is: 7,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.78 : 13,506.44 = 5,537.86 : x
  2. Step 2: Convert to fraction form
    9,786.78/13,506.44 = 5,537.86/x
  3. Step 3: Cross multiply
    9,786.78x = 13,506.44 × 5,537.86
  4. Step 4: Simplify right side
    9,786.78x = 74,796,712.36
  5. Step 5: Solve for x
    x = 74,796,712.36/9,786.78
  6. Step 6: Final answer
    x = 7,642.63

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