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Finding the Fourth Proportional to 9,227.75, 13,841.12 and 2,653.67

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Solution

The fourth proportional to 9,227.75, 13,841.12 and 2,653.67 is: 3,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.75 : 13,841.12 = 2,653.67 : x
  2. Step 2: Convert to fraction form
    9,227.75/13,841.12 = 2,653.67/x
  3. Step 3: Cross multiply
    9,227.75x = 13,841.12 × 2,653.67
  4. Step 4: Simplify right side
    9,227.75x = 36,729,682.44
  5. Step 5: Solve for x
    x = 36,729,682.44/9,227.75
  6. Step 6: Final answer
    x = 3,980.35

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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.