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Finding the Fourth Proportional to 9,241.98, 13,864.41 and 5,543.34

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Solution

The fourth proportional to 9,241.98, 13,864.41 and 5,543.34 is: 8,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.98 : 13,864.41 = 5,543.34 : x
  2. Step 2: Convert to fraction form
    9,241.98/13,864.41 = 5,543.34/x
  3. Step 3: Cross multiply
    9,241.98x = 13,864.41 × 5,543.34
  4. Step 4: Simplify right side
    9,241.98x = 76,855,138.53
  5. Step 5: Solve for x
    x = 76,855,138.53/9,241.98
  6. Step 6: Final answer
    x = 8,315.87

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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.