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Finding the Fourth Proportional to 9,578.82, 14,363.10 and 4,237.14

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Solution

The fourth proportional to 9,578.82, 14,363.10 and 4,237.14 is: 6,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.82 : 14,363.10 = 4,237.14 : x
  2. Step 2: Convert to fraction form
    9,578.82/14,363.10 = 4,237.14/x
  3. Step 3: Cross multiply
    9,578.82x = 14,363.10 × 4,237.14
  4. Step 4: Simplify right side
    9,578.82x = 60,858,465.53
  5. Step 5: Solve for x
    x = 60,858,465.53/9,578.82
  6. Step 6: Final answer
    x = 6,353.44

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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.