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Finding the Fourth Proportional to 6,972.06, 9,621.22 and 3,785.20

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Solution

The fourth proportional to 6,972.06, 9,621.22 and 3,785.20 is: 5,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.06 : 9,621.22 = 3,785.20 : x
  2. Step 2: Convert to fraction form
    6,972.06/9,621.22 = 3,785.20/x
  3. Step 3: Cross multiply
    6,972.06x = 9,621.22 × 3,785.20
  4. Step 4: Simplify right side
    6,972.06x = 36,418,241.94
  5. Step 5: Solve for x
    x = 36,418,241.94/6,972.06
  6. Step 6: Final answer
    x = 5,223.46

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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.