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Finding the Fourth Proportional to 9,216.96, 13,831.20 and 3,744.96

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Solution

The fourth proportional to 9,216.96, 13,831.20 and 3,744.96 is: 5,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.96 : 13,831.20 = 3,744.96 : x
  2. Step 2: Convert to fraction form
    9,216.96/13,831.20 = 3,744.96/x
  3. Step 3: Cross multiply
    9,216.96x = 13,831.20 × 3,744.96
  4. Step 4: Simplify right side
    9,216.96x = 51,797,290.75
  5. Step 5: Solve for x
    x = 51,797,290.75/9,216.96
  6. Step 6: Final answer
    x = 5,619.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.