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Finding the Fourth Proportional to 6,565.84, 9,848.96 and 2,183.74

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Solution

The fourth proportional to 6,565.84, 9,848.96 and 2,183.74 is: 3,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.84 : 9,848.96 = 2,183.74 : x
  2. Step 2: Convert to fraction form
    6,565.84/9,848.96 = 2,183.74/x
  3. Step 3: Cross multiply
    6,565.84x = 9,848.96 × 2,183.74
  4. Step 4: Simplify right side
    6,565.84x = 21,507,567.91
  5. Step 5: Solve for x
    x = 21,507,567.91/6,565.84
  6. Step 6: Final answer
    x = 3,275.68

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