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Finding the Fourth Proportional to 9,224.12, 13,838.23 and 2,649.80

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Solution

The fourth proportional to 9,224.12, 13,838.23 and 2,649.80 is: 3,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.12 : 13,838.23 = 2,649.80 : x
  2. Step 2: Convert to fraction form
    9,224.12/13,838.23 = 2,649.80/x
  3. Step 3: Cross multiply
    9,224.12x = 13,838.23 × 2,649.80
  4. Step 4: Simplify right side
    9,224.12x = 36,668,541.85
  5. Step 5: Solve for x
    x = 36,668,541.85/9,224.12
  6. Step 6: Final answer
    x = 3,975.29

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