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Finding the Fourth Proportional to 6,148.73, 9,223.07 and 2,638.44

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Solution

The fourth proportional to 6,148.73, 9,223.07 and 2,638.44 is: 3,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.73 : 9,223.07 = 2,638.44 : x
  2. Step 2: Convert to fraction form
    6,148.73/9,223.07 = 2,638.44/x
  3. Step 3: Cross multiply
    6,148.73x = 9,223.07 × 2,638.44
  4. Step 4: Simplify right side
    6,148.73x = 24,334,503.62
  5. Step 5: Solve for x
    x = 24,334,503.62/6,148.73
  6. Step 6: Final answer
    x = 3,957.65

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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.