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Finding the Fourth Proportional to 9,292, 13,930.63 and 3,367.96

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Solution

The fourth proportional to 9,292, 13,930.63 and 3,367.96 is: 5,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292 : 13,930.63 = 3,367.96 : x
  2. Step 2: Convert to fraction form
    9,292/13,930.63 = 3,367.96/x
  3. Step 3: Cross multiply
    9,292x = 13,930.63 × 3,367.96
  4. Step 4: Simplify right side
    9,292x = 46,917,804.61
  5. Step 5: Solve for x
    x = 46,917,804.61/9,292
  6. Step 6: Final answer
    x = 5,049.27

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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.