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Finding the Fourth Proportional to 9,167, 13,750.62 and 2,241.50

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Solution

The fourth proportional to 9,167, 13,750.62 and 2,241.50 is: 3,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167 : 13,750.62 = 2,241.50 : x
  2. Step 2: Convert to fraction form
    9,167/13,750.62 = 2,241.50/x
  3. Step 3: Cross multiply
    9,167x = 13,750.62 × 2,241.50
  4. Step 4: Simplify right side
    9,167x = 30,822,014.73
  5. Step 5: Solve for x
    x = 30,822,014.73/9,167
  6. Step 6: Final answer
    x = 3,362.28

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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.