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Finding the Fourth Proportional to 9,220.36, 13,842.84 and 5,479.12

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Solution

The fourth proportional to 9,220.36, 13,842.84 and 5,479.12 is: 8,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.36 : 13,842.84 = 5,479.12 : x
  2. Step 2: Convert to fraction form
    9,220.36/13,842.84 = 5,479.12/x
  3. Step 3: Cross multiply
    9,220.36x = 13,842.84 × 5,479.12
  4. Step 4: Simplify right side
    9,220.36x = 75,846,581.50
  5. Step 5: Solve for x
    x = 75,846,581.50/9,220.36
  6. Step 6: Final answer
    x = 8,225.99

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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.