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Finding the Fourth Proportional to 6,385.82, 9,584.22 and 2,492.96

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Solution

The fourth proportional to 6,385.82, 9,584.22 and 2,492.96 is: 3,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.82 : 9,584.22 = 2,492.96 : x
  2. Step 2: Convert to fraction form
    6,385.82/9,584.22 = 2,492.96/x
  3. Step 3: Cross multiply
    6,385.82x = 9,584.22 × 2,492.96
  4. Step 4: Simplify right side
    6,385.82x = 23,893,029.17
  5. Step 5: Solve for x
    x = 23,893,029.17/6,385.82
  6. Step 6: Final answer
    x = 3,741.58

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