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Finding the Fourth Proportional to 6,145.52, 9,219.80 and 2,197.54

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Solution

The fourth proportional to 6,145.52, 9,219.80 and 2,197.54 is: 3,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.52 : 9,219.80 = 2,197.54 : x
  2. Step 2: Convert to fraction form
    6,145.52/9,219.80 = 2,197.54/x
  3. Step 3: Cross multiply
    6,145.52x = 9,219.80 × 2,197.54
  4. Step 4: Simplify right side
    6,145.52x = 20,260,861.74
  5. Step 5: Solve for x
    x = 20,260,861.74/6,145.52
  6. Step 6: Final answer
    x = 3,296.85

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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.