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Finding the Fourth Proportional to 6,972.55, 9,622.07 and 3,828.73

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Solution

The fourth proportional to 6,972.55, 9,622.07 and 3,828.73 is: 5,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.55 : 9,622.07 = 3,828.73 : x
  2. Step 2: Convert to fraction form
    6,972.55/9,622.07 = 3,828.73/x
  3. Step 3: Cross multiply
    6,972.55x = 9,622.07 × 3,828.73
  4. Step 4: Simplify right side
    6,972.55x = 36,840,288.93
  5. Step 5: Solve for x
    x = 36,840,288.93/6,972.55
  6. Step 6: Final answer
    x = 5,283.62

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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.