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Finding the Fourth Proportional to 6,962.96, 9,609.49 and 3,819.76

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Solution

The fourth proportional to 6,962.96, 9,609.49 and 3,819.76 is: 5,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.96 : 9,609.49 = 3,819.76 : x
  2. Step 2: Convert to fraction form
    6,962.96/9,609.49 = 3,819.76/x
  3. Step 3: Cross multiply
    6,962.96x = 9,609.49 × 3,819.76
  4. Step 4: Simplify right side
    6,962.96x = 36,705,907.02
  5. Step 5: Solve for x
    x = 36,705,907.02/6,962.96
  6. Step 6: Final answer
    x = 5,271.60

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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.