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Finding the Fourth Proportional to 9,196.26, 13,794.42 and 4,815

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Solution

The fourth proportional to 9,196.26, 13,794.42 and 4,815 is: 7,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.26 : 13,794.42 = 4,815 : x
  2. Step 2: Convert to fraction form
    9,196.26/13,794.42 = 4,815/x
  3. Step 3: Cross multiply
    9,196.26x = 13,794.42 × 4,815
  4. Step 4: Simplify right side
    9,196.26x = 66,420,132.30
  5. Step 5: Solve for x
    x = 66,420,132.30/9,196.26
  6. Step 6: Final answer
    x = 7,222.52

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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.