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Finding the Fourth Proportional to 6,622.56, 9,138.42 and 3,828.06

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Solution

The fourth proportional to 6,622.56, 9,138.42 and 3,828.06 is: 5,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.56 : 9,138.42 = 3,828.06 : x
  2. Step 2: Convert to fraction form
    6,622.56/9,138.42 = 3,828.06/x
  3. Step 3: Cross multiply
    6,622.56x = 9,138.42 × 3,828.06
  4. Step 4: Simplify right side
    6,622.56x = 34,982,420.07
  5. Step 5: Solve for x
    x = 34,982,420.07/6,622.56
  6. Step 6: Final answer
    x = 5,282.31

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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.