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Finding the Fourth Proportional to 6,545.54, 9,818.56 and 3,423.44

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Solution

The fourth proportional to 6,545.54, 9,818.56 and 3,423.44 is: 5,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.54 : 9,818.56 = 3,423.44 : x
  2. Step 2: Convert to fraction form
    6,545.54/9,818.56 = 3,423.44/x
  3. Step 3: Cross multiply
    6,545.54x = 9,818.56 × 3,423.44
  4. Step 4: Simplify right side
    6,545.54x = 33,613,251.05
  5. Step 5: Solve for x
    x = 33,613,251.05/6,545.54
  6. Step 6: Final answer
    x = 5,135.29

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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.