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Finding the Fourth Proportional to 9,214.54, 13,825.86 and 3,372.02

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Solution

The fourth proportional to 9,214.54, 13,825.86 and 3,372.02 is: 5,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.54 : 13,825.86 = 3,372.02 : x
  2. Step 2: Convert to fraction form
    9,214.54/13,825.86 = 3,372.02/x
  3. Step 3: Cross multiply
    9,214.54x = 13,825.86 × 3,372.02
  4. Step 4: Simplify right side
    9,214.54x = 46,621,076.44
  5. Step 5: Solve for x
    x = 46,621,076.44/9,214.54
  6. Step 6: Final answer
    x = 5,059.51

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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.