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Finding the Fourth Proportional to 9,578.83, 14,363.39 and 4,380.25

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Solution

The fourth proportional to 9,578.83, 14,363.39 and 4,380.25 is: 6,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.83 : 14,363.39 = 4,380.25 : x
  2. Step 2: Convert to fraction form
    9,578.83/14,363.39 = 4,380.25/x
  3. Step 3: Cross multiply
    9,578.83x = 14,363.39 × 4,380.25
  4. Step 4: Simplify right side
    9,578.83x = 62,915,217.15
  5. Step 5: Solve for x
    x = 62,915,217.15/9,578.83
  6. Step 6: Final answer
    x = 6,568.15

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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.