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Finding the Fourth Proportional to 9,173.20, 12,658.99 and 5,194.08

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Solution

The fourth proportional to 9,173.20, 12,658.99 and 5,194.08 is: 7,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.20 : 12,658.99 = 5,194.08 : x
  2. Step 2: Convert to fraction form
    9,173.20/12,658.99 = 5,194.08/x
  3. Step 3: Cross multiply
    9,173.20x = 12,658.99 × 5,194.08
  4. Step 4: Simplify right side
    9,173.20x = 65,751,806.78
  5. Step 5: Solve for x
    x = 65,751,806.78/9,173.20
  6. Step 6: Final answer
    x = 7,167.82

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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.