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Finding the Fourth Proportional to 9,122.97, 12,589.34 and 5,144.93

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Solution

The fourth proportional to 9,122.97, 12,589.34 and 5,144.93 is: 7,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.97 : 12,589.34 = 5,144.93 : x
  2. Step 2: Convert to fraction form
    9,122.97/12,589.34 = 5,144.93/x
  3. Step 3: Cross multiply
    9,122.97x = 12,589.34 × 5,144.93
  4. Step 4: Simplify right side
    9,122.97x = 64,771,273.05
  5. Step 5: Solve for x
    x = 64,771,273.05/9,122.97
  6. Step 6: Final answer
    x = 7,099.80

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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.