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Finding the Fourth Proportional to 9,241, 13,867.26 and 3,769

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Solution

The fourth proportional to 9,241, 13,867.26 and 3,769 is: 5,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241 : 13,867.26 = 3,769 : x
  2. Step 2: Convert to fraction form
    9,241/13,867.26 = 3,769/x
  3. Step 3: Cross multiply
    9,241x = 13,867.26 × 3,769
  4. Step 4: Simplify right side
    9,241x = 52,265,702.94
  5. Step 5: Solve for x
    x = 52,265,702.94/9,241
  6. Step 6: Final answer
    x = 5,655.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.