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Finding the Fourth Proportional to 9,121.62, 13,675.14 and 5,228.76

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Solution

The fourth proportional to 9,121.62, 13,675.14 and 5,228.76 is: 7,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.62 : 13,675.14 = 5,228.76 : x
  2. Step 2: Convert to fraction form
    9,121.62/13,675.14 = 5,228.76/x
  3. Step 3: Cross multiply
    9,121.62x = 13,675.14 × 5,228.76
  4. Step 4: Simplify right side
    9,121.62x = 71,504,025.03
  5. Step 5: Solve for x
    x = 71,504,025.03/9,121.62
  6. Step 6: Final answer
    x = 7,838.96

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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.