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Finding the Fourth Proportional to 9,523.90, 13,144.16 and 5,749.23

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Solution

The fourth proportional to 9,523.90, 13,144.16 and 5,749.23 is: 7,934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.90 : 13,144.16 = 5,749.23 : x
  2. Step 2: Convert to fraction form
    9,523.90/13,144.16 = 5,749.23/x
  3. Step 3: Cross multiply
    9,523.90x = 13,144.16 × 5,749.23
  4. Step 4: Simplify right side
    9,523.90x = 75,568,799.00
  5. Step 5: Solve for x
    x = 75,568,799.00/9,523.90
  6. Step 6: Final answer
    x = 7,934.65

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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.