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Finding the Fourth Proportional to 7,213.25, 9,954.10 and 4,069.19

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Solution

The fourth proportional to 7,213.25, 9,954.10 and 4,069.19 is: 5,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.25 : 9,954.10 = 4,069.19 : x
  2. Step 2: Convert to fraction form
    7,213.25/9,954.10 = 4,069.19/x
  3. Step 3: Cross multiply
    7,213.25x = 9,954.10 × 4,069.19
  4. Step 4: Simplify right side
    7,213.25x = 40,505,124.18
  5. Step 5: Solve for x
    x = 40,505,124.18/7,213.25
  6. Step 6: Final answer
    x = 5,615.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.