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Finding the Fourth Proportional to 9,229.76, 13,850.17 and 3,386.96

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Solution

The fourth proportional to 9,229.76, 13,850.17 and 3,386.96 is: 5,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.76 : 13,850.17 = 3,386.96 : x
  2. Step 2: Convert to fraction form
    9,229.76/13,850.17 = 3,386.96/x
  3. Step 3: Cross multiply
    9,229.76x = 13,850.17 × 3,386.96
  4. Step 4: Simplify right side
    9,229.76x = 46,909,971.78
  5. Step 5: Solve for x
    x = 46,909,971.78/9,229.76
  6. Step 6: Final answer
    x = 5,082.47

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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.