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Finding the Fourth Proportional to 6,473.40, 9,685.40 and 3,553.76

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Solution

The fourth proportional to 6,473.40, 9,685.40 and 3,553.76 is: 5,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.40 : 9,685.40 = 3,553.76 : x
  2. Step 2: Convert to fraction form
    6,473.40/9,685.40 = 3,553.76/x
  3. Step 3: Cross multiply
    6,473.40x = 9,685.40 × 3,553.76
  4. Step 4: Simplify right side
    6,473.40x = 34,419,520.91
  5. Step 5: Solve for x
    x = 34,419,520.91/6,473.40
  6. Step 6: Final answer
    x = 5,317.07

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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.