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Finding the Fourth Proportional to 6,697.15, 9,241.19 and 3,825.80

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Solution

The fourth proportional to 6,697.15, 9,241.19 and 3,825.80 is: 5,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.15 : 9,241.19 = 3,825.80 : x
  2. Step 2: Convert to fraction form
    6,697.15/9,241.19 = 3,825.80/x
  3. Step 3: Cross multiply
    6,697.15x = 9,241.19 × 3,825.80
  4. Step 4: Simplify right side
    6,697.15x = 35,354,928.37
  5. Step 5: Solve for x
    x = 35,354,928.37/6,697.15
  6. Step 6: Final answer
    x = 5,279.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.