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Finding the Fourth Proportional to 6,350.72, 9,529.68 and 3,428.96

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Solution

The fourth proportional to 6,350.72, 9,529.68 and 3,428.96 is: 5,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.72 : 9,529.68 = 3,428.96 : x
  2. Step 2: Convert to fraction form
    6,350.72/9,529.68 = 3,428.96/x
  3. Step 3: Cross multiply
    6,350.72x = 9,529.68 × 3,428.96
  4. Step 4: Simplify right side
    6,350.72x = 32,676,891.53
  5. Step 5: Solve for x
    x = 32,676,891.53/6,350.72
  6. Step 6: Final answer
    x = 5,145.38

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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.