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Finding the Fourth Proportional to 7,196.34, 9,930.97 and 4,172.05

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Solution

The fourth proportional to 7,196.34, 9,930.97 and 4,172.05 is: 5,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.34 : 9,930.97 = 4,172.05 : x
  2. Step 2: Convert to fraction form
    7,196.34/9,930.97 = 4,172.05/x
  3. Step 3: Cross multiply
    7,196.34x = 9,930.97 × 4,172.05
  4. Step 4: Simplify right side
    7,196.34x = 41,432,503.39
  5. Step 5: Solve for x
    x = 41,432,503.39/7,196.34
  6. Step 6: Final answer
    x = 5,757.44

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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.