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Finding the Fourth Proportional to 9,197.84, 13,796.76 and 2,272.34

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Solution

The fourth proportional to 9,197.84, 13,796.76 and 2,272.34 is: 3,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.84 : 13,796.76 = 2,272.34 : x
  2. Step 2: Convert to fraction form
    9,197.84/13,796.76 = 2,272.34/x
  3. Step 3: Cross multiply
    9,197.84x = 13,796.76 × 2,272.34
  4. Step 4: Simplify right side
    9,197.84x = 31,350,929.62
  5. Step 5: Solve for x
    x = 31,350,929.62/9,197.84
  6. Step 6: Final answer
    x = 3,408.51

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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.