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Finding the Fourth Proportional to 6,564.96, 9,848.56 and 2,405.28

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Solution

The fourth proportional to 6,564.96, 9,848.56 and 2,405.28 is: 3,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.96 : 9,848.56 = 2,405.28 : x
  2. Step 2: Convert to fraction form
    6,564.96/9,848.56 = 2,405.28/x
  3. Step 3: Cross multiply
    6,564.96x = 9,848.56 × 2,405.28
  4. Step 4: Simplify right side
    6,564.96x = 23,688,544.40
  5. Step 5: Solve for x
    x = 23,688,544.40/6,564.96
  6. Step 6: Final answer
    x = 3,608.33

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