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Finding the Fourth Proportional to 9,249.75, 12,765.74 and 5,523.75

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Solution

The fourth proportional to 9,249.75, 12,765.74 and 5,523.75 is: 7,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.75 : 12,765.74 = 5,523.75 : x
  2. Step 2: Convert to fraction form
    9,249.75/12,765.74 = 5,523.75/x
  3. Step 3: Cross multiply
    9,249.75x = 12,765.74 × 5,523.75
  4. Step 4: Simplify right side
    9,249.75x = 70,514,728.71
  5. Step 5: Solve for x
    x = 70,514,728.71/9,249.75
  6. Step 6: Final answer
    x = 7,623.42

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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.