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Finding the Fourth Proportional to 6,545.72, 9,821.46 and 3,467

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Solution

The fourth proportional to 6,545.72, 9,821.46 and 3,467 is: 5,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.72 : 9,821.46 = 3,467 : x
  2. Step 2: Convert to fraction form
    6,545.72/9,821.46 = 3,467/x
  3. Step 3: Cross multiply
    6,545.72x = 9,821.46 × 3,467
  4. Step 4: Simplify right side
    6,545.72x = 34,051,001.82
  5. Step 5: Solve for x
    x = 34,051,001.82/6,545.72
  6. Step 6: Final answer
    x = 5,202.03

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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.