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Finding the Fourth Proportional to 6,972.68, 9,622.04 and 3,828.68

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Solution

The fourth proportional to 6,972.68, 9,622.04 and 3,828.68 is: 5,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.68 : 9,622.04 = 3,828.68 : x
  2. Step 2: Convert to fraction form
    6,972.68/9,622.04 = 3,828.68/x
  3. Step 3: Cross multiply
    6,972.68x = 9,622.04 × 3,828.68
  4. Step 4: Simplify right side
    6,972.68x = 36,839,712.11
  5. Step 5: Solve for x
    x = 36,839,712.11/6,972.68
  6. Step 6: Final answer
    x = 5,283.44

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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.