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Finding the Fourth Proportional to 9,125.82, 13,682.67 and 3,281.67

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Solution

The fourth proportional to 9,125.82, 13,682.67 and 3,281.67 is: 4,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.82 : 13,682.67 = 3,281.67 : x
  2. Step 2: Convert to fraction form
    9,125.82/13,682.67 = 3,281.67/x
  3. Step 3: Cross multiply
    9,125.82x = 13,682.67 × 3,281.67
  4. Step 4: Simplify right side
    9,125.82x = 44,902,007.66
  5. Step 5: Solve for x
    x = 44,902,007.66/9,125.82
  6. Step 6: Final answer
    x = 4,920.33

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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.