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Finding the Fourth Proportional to 9,196.49, 13,794.47 and 2,956.45

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Solution

The fourth proportional to 9,196.49, 13,794.47 and 2,956.45 is: 4,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.49 : 13,794.47 = 2,956.45 : x
  2. Step 2: Convert to fraction form
    9,196.49/13,794.47 = 2,956.45/x
  3. Step 3: Cross multiply
    9,196.49x = 13,794.47 × 2,956.45
  4. Step 4: Simplify right side
    9,196.49x = 40,782,622.65
  5. Step 5: Solve for x
    x = 40,782,622.65/9,196.49
  6. Step 6: Final answer
    x = 4,434.59

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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.