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Finding the Fourth Proportional to 6,205.56, 9,304.72 and 2,044.44

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Solution

The fourth proportional to 6,205.56, 9,304.72 and 2,044.44 is: 3,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.56 : 9,304.72 = 2,044.44 : x
  2. Step 2: Convert to fraction form
    6,205.56/9,304.72 = 2,044.44/x
  3. Step 3: Cross multiply
    6,205.56x = 9,304.72 × 2,044.44
  4. Step 4: Simplify right side
    6,205.56x = 19,022,948.15
  5. Step 5: Solve for x
    x = 19,022,948.15/6,205.56
  6. Step 6: Final answer
    x = 3,065.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.