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Finding the Fourth Proportional to 9,227.48, 13,840 and 3,383.32

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Solution

The fourth proportional to 9,227.48, 13,840 and 3,383.32 is: 5,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.48 : 13,840 = 3,383.32 : x
  2. Step 2: Convert to fraction form
    9,227.48/13,840 = 3,383.32/x
  3. Step 3: Cross multiply
    9,227.48x = 13,840 × 3,383.32
  4. Step 4: Simplify right side
    9,227.48x = 46,825,148.80
  5. Step 5: Solve for x
    x = 46,825,148.80/9,227.48
  6. Step 6: Final answer
    x = 5,074.53

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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.