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Finding the Fourth Proportional to 9,122.90, 12,589.41 and 5,144.01

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Solution

The fourth proportional to 9,122.90, 12,589.41 and 5,144.01 is: 7,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.90 : 12,589.41 = 5,144.01 : x
  2. Step 2: Convert to fraction form
    9,122.90/12,589.41 = 5,144.01/x
  3. Step 3: Cross multiply
    9,122.90x = 12,589.41 × 5,144.01
  4. Step 4: Simplify right side
    9,122.90x = 64,760,050.93
  5. Step 5: Solve for x
    x = 64,760,050.93/9,122.90
  6. Step 6: Final answer
    x = 7,098.63

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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.