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Finding the Fourth Proportional to 9,233, 13,849.50 and 3,761

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Solution

The fourth proportional to 9,233, 13,849.50 and 3,761 is: 5,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233 : 13,849.50 = 3,761 : x
  2. Step 2: Convert to fraction form
    9,233/13,849.50 = 3,761/x
  3. Step 3: Cross multiply
    9,233x = 13,849.50 × 3,761
  4. Step 4: Simplify right side
    9,233x = 52,087,969.50
  5. Step 5: Solve for x
    x = 52,087,969.50/9,233
  6. Step 6: Final answer
    x = 5,641.50

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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.