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Finding the Fourth Proportional to 9,189.81, 12,684.19 and 5,213.25

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Solution

The fourth proportional to 9,189.81, 12,684.19 and 5,213.25 is: 7,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.81 : 12,684.19 = 5,213.25 : x
  2. Step 2: Convert to fraction form
    9,189.81/12,684.19 = 5,213.25/x
  3. Step 3: Cross multiply
    9,189.81x = 12,684.19 × 5,213.25
  4. Step 4: Simplify right side
    9,189.81x = 66,125,853.52
  5. Step 5: Solve for x
    x = 66,125,853.52/9,189.81
  6. Step 6: Final answer
    x = 7,195.56

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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.