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Finding the Fourth Proportional to 9,201.96, 13,805.14 and 2,962.56

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Solution

The fourth proportional to 9,201.96, 13,805.14 and 2,962.56 is: 4,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.96 : 13,805.14 = 2,962.56 : x
  2. Step 2: Convert to fraction form
    9,201.96/13,805.14 = 2,962.56/x
  3. Step 3: Cross multiply
    9,201.96x = 13,805.14 × 2,962.56
  4. Step 4: Simplify right side
    9,201.96x = 40,898,497.33
  5. Step 5: Solve for x
    x = 40,898,497.33/9,201.96
  6. Step 6: Final answer
    x = 4,444.54

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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.