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Finding the Fourth Proportional to 6,265.86, 9,396.36 and 3,342.57

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Solution

The fourth proportional to 6,265.86, 9,396.36 and 3,342.57 is: 5,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.86 : 9,396.36 = 3,342.57 : x
  2. Step 2: Convert to fraction form
    6,265.86/9,396.36 = 3,342.57/x
  3. Step 3: Cross multiply
    6,265.86x = 9,396.36 × 3,342.57
  4. Step 4: Simplify right side
    6,265.86x = 31,407,991.05
  5. Step 5: Solve for x
    x = 31,407,991.05/6,265.86
  6. Step 6: Final answer
    x = 5,012.56

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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.