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Finding the Fourth Proportional to 9,289.68, 12,819.78 and 5,311.56

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Solution

The fourth proportional to 9,289.68, 12,819.78 and 5,311.56 is: 7,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.68 : 12,819.78 = 5,311.56 : x
  2. Step 2: Convert to fraction form
    9,289.68/12,819.78 = 5,311.56/x
  3. Step 3: Cross multiply
    9,289.68x = 12,819.78 × 5,311.56
  4. Step 4: Simplify right side
    9,289.68x = 68,093,030.66
  5. Step 5: Solve for x
    x = 68,093,030.66/9,289.68
  6. Step 6: Final answer
    x = 7,329.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.