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Finding the Fourth Proportional to 9,201.54, 13,799.50 and 3,356.76

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Solution

The fourth proportional to 9,201.54, 13,799.50 and 3,356.76 is: 5,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.54 : 13,799.50 = 3,356.76 : x
  2. Step 2: Convert to fraction form
    9,201.54/13,799.50 = 3,356.76/x
  3. Step 3: Cross multiply
    9,201.54x = 13,799.50 × 3,356.76
  4. Step 4: Simplify right side
    9,201.54x = 46,321,609.62
  5. Step 5: Solve for x
    x = 46,321,609.62/9,201.54
  6. Step 6: Final answer
    x = 5,034.11

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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.