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Finding the Fourth Proportional to 9,190.20, 12,684.80 and 5,213.68

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Solution

The fourth proportional to 9,190.20, 12,684.80 and 5,213.68 is: 7,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.20 : 12,684.80 = 5,213.68 : x
  2. Step 2: Convert to fraction form
    9,190.20/12,684.80 = 5,213.68/x
  3. Step 3: Cross multiply
    9,190.20x = 12,684.80 × 5,213.68
  4. Step 4: Simplify right side
    9,190.20x = 66,134,488.06
  5. Step 5: Solve for x
    x = 66,134,488.06/9,190.20
  6. Step 6: Final answer
    x = 7,196.20

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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.