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Finding the Fourth Proportional to 9,190.37, 12,684.97 and 5,213.81

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Solution

The fourth proportional to 9,190.37, 12,684.97 and 5,213.81 is: 7,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.37 : 12,684.97 = 5,213.81 : x
  2. Step 2: Convert to fraction form
    9,190.37/12,684.97 = 5,213.81/x
  3. Step 3: Cross multiply
    9,190.37x = 12,684.97 × 5,213.81
  4. Step 4: Simplify right side
    9,190.37x = 66,137,023.44
  5. Step 5: Solve for x
    x = 66,137,023.44/9,190.37
  6. Step 6: Final answer
    x = 7,196.34

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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.