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Finding the Fourth Proportional to 6,916, 9,544.08 and 3,772.20

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Solution

The fourth proportional to 6,916, 9,544.08 and 3,772.20 is: 5,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916 : 9,544.08 = 3,772.20 : x
  2. Step 2: Convert to fraction form
    6,916/9,544.08 = 3,772.20/x
  3. Step 3: Cross multiply
    6,916x = 9,544.08 × 3,772.20
  4. Step 4: Simplify right side
    6,916x = 36,002,178.58
  5. Step 5: Solve for x
    x = 36,002,178.58/6,916
  6. Step 6: Final answer
    x = 5,205.64

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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.