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Finding the Fourth Proportional to 6,203.86, 9,297.56 and 3,385.46

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Solution

The fourth proportional to 6,203.86, 9,297.56 and 3,385.46 is: 5,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.86 : 9,297.56 = 3,385.46 : x
  2. Step 2: Convert to fraction form
    6,203.86/9,297.56 = 3,385.46/x
  3. Step 3: Cross multiply
    6,203.86x = 9,297.56 × 3,385.46
  4. Step 4: Simplify right side
    6,203.86x = 31,476,517.48
  5. Step 5: Solve for x
    x = 31,476,517.48/6,203.86
  6. Step 6: Final answer
    x = 5,073.70

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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.