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Finding the Fourth Proportional to 6,546.60, 9,819.93 and 1,616.34

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Solution

The fourth proportional to 6,546.60, 9,819.93 and 1,616.34 is: 2,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.60 : 9,819.93 = 1,616.34 : x
  2. Step 2: Convert to fraction form
    6,546.60/9,819.93 = 1,616.34/x
  3. Step 3: Cross multiply
    6,546.60x = 9,819.93 × 1,616.34
  4. Step 4: Simplify right side
    6,546.60x = 15,872,345.66
  5. Step 5: Solve for x
    x = 15,872,345.66/6,546.60
  6. Step 6: Final answer
    x = 2,424.52

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