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Finding the Fourth Proportional to 9,221, 13,831.50 and 2,986.22

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Solution

The fourth proportional to 9,221, 13,831.50 and 2,986.22 is: 4,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221 : 13,831.50 = 2,986.22 : x
  2. Step 2: Convert to fraction form
    9,221/13,831.50 = 2,986.22/x
  3. Step 3: Cross multiply
    9,221x = 13,831.50 × 2,986.22
  4. Step 4: Simplify right side
    9,221x = 41,303,901.93
  5. Step 5: Solve for x
    x = 41,303,901.93/9,221
  6. Step 6: Final answer
    x = 4,479.33

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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.