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Finding the Fourth Proportional to 9,522.56, 13,131.68 and 5,794.24

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Solution

The fourth proportional to 9,522.56, 13,131.68 and 5,794.24 is: 7,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.56 : 13,131.68 = 5,794.24 : x
  2. Step 2: Convert to fraction form
    9,522.56/13,131.68 = 5,794.24/x
  3. Step 3: Cross multiply
    9,522.56x = 13,131.68 × 5,794.24
  4. Step 4: Simplify right side
    9,522.56x = 76,088,105.52
  5. Step 5: Solve for x
    x = 76,088,105.52/9,522.56
  6. Step 6: Final answer
    x = 7,990.30

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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.