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Finding the Fourth Proportional to 9,196.95, 13,794.09 and 2,956.14

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Solution

The fourth proportional to 9,196.95, 13,794.09 and 2,956.14 is: 4,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.95 : 13,794.09 = 2,956.14 : x
  2. Step 2: Convert to fraction form
    9,196.95/13,794.09 = 2,956.14/x
  3. Step 3: Cross multiply
    9,196.95x = 13,794.09 × 2,956.14
  4. Step 4: Simplify right side
    9,196.95x = 40,777,261.21
  5. Step 5: Solve for x
    x = 40,777,261.21/9,196.95
  6. Step 6: Final answer
    x = 4,433.78

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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.