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Finding the Fourth Proportional to 6,523.78, 9,788.70 and 3,407.30

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Solution

The fourth proportional to 6,523.78, 9,788.70 and 3,407.30 is: 5,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.78 : 9,788.70 = 3,407.30 : x
  2. Step 2: Convert to fraction form
    6,523.78/9,788.70 = 3,407.30/x
  3. Step 3: Cross multiply
    6,523.78x = 9,788.70 × 3,407.30
  4. Step 4: Simplify right side
    6,523.78x = 33,353,037.51
  5. Step 5: Solve for x
    x = 33,353,037.51/6,523.78
  6. Step 6: Final answer
    x = 5,112.53

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