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Finding the Fourth Proportional to 9,819.25, 13,550.67 and 5,342.99

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Solution

The fourth proportional to 9,819.25, 13,550.67 and 5,342.99 is: 7,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.25 : 13,550.67 = 5,342.99 : x
  2. Step 2: Convert to fraction form
    9,819.25/13,550.67 = 5,342.99/x
  3. Step 3: Cross multiply
    9,819.25x = 13,550.67 × 5,342.99
  4. Step 4: Simplify right side
    9,819.25x = 72,401,049.63
  5. Step 5: Solve for x
    x = 72,401,049.63/9,819.25
  6. Step 6: Final answer
    x = 7,373.38

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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.