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Finding the Fourth Proportional to 9,190.48, 12,682.84 and 5,414.41

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Solution

The fourth proportional to 9,190.48, 12,682.84 and 5,414.41 is: 7,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.48 : 12,682.84 = 5,414.41 : x
  2. Step 2: Convert to fraction form
    9,190.48/12,682.84 = 5,414.41/x
  3. Step 3: Cross multiply
    9,190.48x = 12,682.84 × 5,414.41
  4. Step 4: Simplify right side
    9,190.48x = 68,670,095.72
  5. Step 5: Solve for x
    x = 68,670,095.72/9,190.48
  6. Step 6: Final answer
    x = 7,471.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.