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Finding the Fourth Proportional to 9,267, 13,901.94 and 3,112.44

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Solution

The fourth proportional to 9,267, 13,901.94 and 3,112.44 is: 4,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267 : 13,901.94 = 3,112.44 : x
  2. Step 2: Convert to fraction form
    9,267/13,901.94 = 3,112.44/x
  3. Step 3: Cross multiply
    9,267x = 13,901.94 × 3,112.44
  4. Step 4: Simplify right side
    9,267x = 43,268,954.13
  5. Step 5: Solve for x
    x = 43,268,954.13/9,267
  6. Step 6: Final answer
    x = 4,669.14

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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.