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Finding the Fourth Proportional to 6,972.64, 9,622.05 and 3,828.64

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Solution

The fourth proportional to 6,972.64, 9,622.05 and 3,828.64 is: 5,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.64 : 9,622.05 = 3,828.64 : x
  2. Step 2: Convert to fraction form
    6,972.64/9,622.05 = 3,828.64/x
  3. Step 3: Cross multiply
    6,972.64x = 9,622.05 × 3,828.64
  4. Step 4: Simplify right side
    6,972.64x = 36,839,365.51
  5. Step 5: Solve for x
    x = 36,839,365.51/6,972.64
  6. Step 6: Final answer
    x = 5,283.42

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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.