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Finding the Fourth Proportional to 9,098.82, 13,635.41 and 7,241.67

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Solution

The fourth proportional to 9,098.82, 13,635.41 and 7,241.67 is: 10,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.82 : 13,635.41 = 7,241.67 : x
  2. Step 2: Convert to fraction form
    9,098.82/13,635.41 = 7,241.67/x
  3. Step 3: Cross multiply
    9,098.82x = 13,635.41 × 7,241.67
  4. Step 4: Simplify right side
    9,098.82x = 98,743,103.33
  5. Step 5: Solve for x
    x = 98,743,103.33/9,098.82
  6. Step 6: Final answer
    x = 10,852.30

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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.