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Finding the Fourth Proportional to 9,222, 13,833.36 and 3,678

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Solution

The fourth proportional to 9,222, 13,833.36 and 3,678 is: 5,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222 : 13,833.36 = 3,678 : x
  2. Step 2: Convert to fraction form
    9,222/13,833.36 = 3,678/x
  3. Step 3: Cross multiply
    9,222x = 13,833.36 × 3,678
  4. Step 4: Simplify right side
    9,222x = 50,879,098.08
  5. Step 5: Solve for x
    x = 50,879,098.08/9,222
  6. Step 6: Final answer
    x = 5,517.14

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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.