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Finding the Fourth Proportional to 9,191.90, 12,684.83 and 5,213.03

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Solution

The fourth proportional to 9,191.90, 12,684.83 and 5,213.03 is: 7,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.90 : 12,684.83 = 5,213.03 : x
  2. Step 2: Convert to fraction form
    9,191.90/12,684.83 = 5,213.03/x
  3. Step 3: Cross multiply
    9,191.90x = 12,684.83 × 5,213.03
  4. Step 4: Simplify right side
    9,191.90x = 66,126,309.85
  5. Step 5: Solve for x
    x = 66,126,309.85/9,191.90
  6. Step 6: Final answer
    x = 7,193.97

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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.