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Finding the Fourth Proportional to 9,227.89, 13,833.54 and 3,383.14

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Solution

The fourth proportional to 9,227.89, 13,833.54 and 3,383.14 is: 5,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.89 : 13,833.54 = 3,383.14 : x
  2. Step 2: Convert to fraction form
    9,227.89/13,833.54 = 3,383.14/x
  3. Step 3: Cross multiply
    9,227.89x = 13,833.54 × 3,383.14
  4. Step 4: Simplify right side
    9,227.89x = 46,800,802.52
  5. Step 5: Solve for x
    x = 46,800,802.52/9,227.89
  6. Step 6: Final answer
    x = 5,071.67

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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.