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Finding the Fourth Proportional to 9,122.99, 12,589.68 and 5,144.14

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Solution

The fourth proportional to 9,122.99, 12,589.68 and 5,144.14 is: 7,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.99 : 12,589.68 = 5,144.14 : x
  2. Step 2: Convert to fraction form
    9,122.99/12,589.68 = 5,144.14/x
  3. Step 3: Cross multiply
    9,122.99x = 12,589.68 × 5,144.14
  4. Step 4: Simplify right side
    9,122.99x = 64,762,987.81
  5. Step 5: Solve for x
    x = 64,762,987.81/9,122.99
  6. Step 6: Final answer
    x = 7,098.88

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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.