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Finding the Fourth Proportional to 6,182.34, 9,273.60 and 3,408.48

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Solution

The fourth proportional to 6,182.34, 9,273.60 and 3,408.48 is: 5,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.34 : 9,273.60 = 3,408.48 : x
  2. Step 2: Convert to fraction form
    6,182.34/9,273.60 = 3,408.48/x
  3. Step 3: Cross multiply
    6,182.34x = 9,273.60 × 3,408.48
  4. Step 4: Simplify right side
    6,182.34x = 31,608,880.13
  5. Step 5: Solve for x
    x = 31,608,880.13/6,182.34
  6. Step 6: Final answer
    x = 5,112.77

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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.