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Finding the Fourth Proportional to 6,414.12, 9,621.42 and 1,797

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Solution

The fourth proportional to 6,414.12, 9,621.42 and 1,797 is: 2,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.12 : 9,621.42 = 1,797 : x
  2. Step 2: Convert to fraction form
    6,414.12/9,621.42 = 1,797/x
  3. Step 3: Cross multiply
    6,414.12x = 9,621.42 × 1,797
  4. Step 4: Simplify right side
    6,414.12x = 17,289,691.74
  5. Step 5: Solve for x
    x = 17,289,691.74/6,414.12
  6. Step 6: Final answer
    x = 2,695.57

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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.