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Finding the Fourth Proportional to 9,571.82, 14,349.08 and 3,414.38

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Solution

The fourth proportional to 9,571.82, 14,349.08 and 3,414.38 is: 5,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.82 : 14,349.08 = 3,414.38 : x
  2. Step 2: Convert to fraction form
    9,571.82/14,349.08 = 3,414.38/x
  3. Step 3: Cross multiply
    9,571.82x = 14,349.08 × 3,414.38
  4. Step 4: Simplify right side
    9,571.82x = 48,993,211.77
  5. Step 5: Solve for x
    x = 48,993,211.77/9,571.82
  6. Step 6: Final answer
    x = 5,118.48

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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.