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Finding the Fourth Proportional to 9,197.96, 13,796.57 and 2,272.46

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Solution

The fourth proportional to 9,197.96, 13,796.57 and 2,272.46 is: 3,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.96 : 13,796.57 = 2,272.46 : x
  2. Step 2: Convert to fraction form
    9,197.96/13,796.57 = 2,272.46/x
  3. Step 3: Cross multiply
    9,197.96x = 13,796.57 × 2,272.46
  4. Step 4: Simplify right side
    9,197.96x = 31,352,090.16
  5. Step 5: Solve for x
    x = 31,352,090.16/9,197.96
  6. Step 6: Final answer
    x = 3,408.59

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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.