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Finding the Fourth Proportional to 6,524.84, 9,787.23 and 2,363.87

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Solution

The fourth proportional to 6,524.84, 9,787.23 and 2,363.87 is: 3,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.84 : 9,787.23 = 2,363.87 : x
  2. Step 2: Convert to fraction form
    6,524.84/9,787.23 = 2,363.87/x
  3. Step 3: Cross multiply
    6,524.84x = 9,787.23 × 2,363.87
  4. Step 4: Simplify right side
    6,524.84x = 23,135,736.43
  5. Step 5: Solve for x
    x = 23,135,736.43/6,524.84
  6. Step 6: Final answer
    x = 3,545.80

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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.