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Finding the Fourth Proportional to 9,296.42, 13,932.33 and 6,819.64

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Solution

The fourth proportional to 9,296.42, 13,932.33 and 6,819.64 is: 10,220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.42 : 13,932.33 = 6,819.64 : x
  2. Step 2: Convert to fraction form
    9,296.42/13,932.33 = 6,819.64/x
  3. Step 3: Cross multiply
    9,296.42x = 13,932.33 × 6,819.64
  4. Step 4: Simplify right side
    9,296.42x = 95,013,512.11
  5. Step 5: Solve for x
    x = 95,013,512.11/9,296.42
  6. Step 6: Final answer
    x = 10,220.44

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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.