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Finding the Fourth Proportional to 9,196.25, 13,788.43 and 3,934.69

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Solution

The fourth proportional to 9,196.25, 13,788.43 and 3,934.69 is: 5,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.25 : 13,788.43 = 3,934.69 : x
  2. Step 2: Convert to fraction form
    9,196.25/13,788.43 = 3,934.69/x
  3. Step 3: Cross multiply
    9,196.25x = 13,788.43 × 3,934.69
  4. Step 4: Simplify right side
    9,196.25x = 54,253,197.64
  5. Step 5: Solve for x
    x = 54,253,197.64/9,196.25
  6. Step 6: Final answer
    x = 5,899.49

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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.