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Finding the Fourth Proportional to 6,244.99, 9,367.48 and 3,470.33

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Solution

The fourth proportional to 6,244.99, 9,367.48 and 3,470.33 is: 5,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.99 : 9,367.48 = 3,470.33 : x
  2. Step 2: Convert to fraction form
    6,244.99/9,367.48 = 3,470.33/x
  3. Step 3: Cross multiply
    6,244.99x = 9,367.48 × 3,470.33
  4. Step 4: Simplify right side
    6,244.99x = 32,508,274.63
  5. Step 5: Solve for x
    x = 32,508,274.63/6,244.99
  6. Step 6: Final answer
    x = 5,205.50

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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.