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Finding the Fourth Proportional to 7,784.22, 11,659.17 and 6,434.70

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Solution

The fourth proportional to 7,784.22, 11,659.17 and 6,434.70 is: 9,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.22 : 11,659.17 = 6,434.70 : x
  2. Step 2: Convert to fraction form
    7,784.22/11,659.17 = 6,434.70/x
  3. Step 3: Cross multiply
    7,784.22x = 11,659.17 × 6,434.70
  4. Step 4: Simplify right side
    7,784.22x = 75,023,261.20
  5. Step 5: Solve for x
    x = 75,023,261.20/7,784.22
  6. Step 6: Final answer
    x = 9,637.86

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