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Finding the Fourth Proportional to 9,201.89, 13,800.09 and 3,357.13

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Solution

The fourth proportional to 9,201.89, 13,800.09 and 3,357.13 is: 5,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.89 : 13,800.09 = 3,357.13 : x
  2. Step 2: Convert to fraction form
    9,201.89/13,800.09 = 3,357.13/x
  3. Step 3: Cross multiply
    9,201.89x = 13,800.09 × 3,357.13
  4. Step 4: Simplify right side
    9,201.89x = 46,328,627.14
  5. Step 5: Solve for x
    x = 46,328,627.14/9,201.89
  6. Step 6: Final answer
    x = 5,034.69

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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.