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Finding the Fourth Proportional to 9,296.40, 13,932.28 and 6,819.61

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Solution

The fourth proportional to 9,296.40, 13,932.28 and 6,819.61 is: 10,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.40 : 13,932.28 = 6,819.61 : x
  2. Step 2: Convert to fraction form
    9,296.40/13,932.28 = 6,819.61/x
  3. Step 3: Cross multiply
    9,296.40x = 13,932.28 × 6,819.61
  4. Step 4: Simplify right side
    9,296.40x = 95,012,716.01
  5. Step 5: Solve for x
    x = 95,012,716.01/9,296.40
  6. Step 6: Final answer
    x = 10,220.38

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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.