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Finding the Fourth Proportional to 9,791.12, 14,684.96 and 3,217.34

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Solution

The fourth proportional to 9,791.12, 14,684.96 and 3,217.34 is: 4,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.12 : 14,684.96 = 3,217.34 : x
  2. Step 2: Convert to fraction form
    9,791.12/14,684.96 = 3,217.34/x
  3. Step 3: Cross multiply
    9,791.12x = 14,684.96 × 3,217.34
  4. Step 4: Simplify right side
    9,791.12x = 47,246,509.21
  5. Step 5: Solve for x
    x = 47,246,509.21/9,791.12
  6. Step 6: Final answer
    x = 4,825.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.