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Finding the Fourth Proportional to 9,121.68, 13,675.08 and 5,228.76

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Solution

The fourth proportional to 9,121.68, 13,675.08 and 5,228.76 is: 7,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.68 : 13,675.08 = 5,228.76 : x
  2. Step 2: Convert to fraction form
    9,121.68/13,675.08 = 5,228.76/x
  3. Step 3: Cross multiply
    9,121.68x = 13,675.08 × 5,228.76
  4. Step 4: Simplify right side
    9,121.68x = 71,503,711.30
  5. Step 5: Solve for x
    x = 71,503,711.30/9,121.68
  6. Step 6: Final answer
    x = 7,838.88

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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.