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Finding the Fourth Proportional to 6,984.50, 9,638.61 and 4,190.90

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Solution

The fourth proportional to 6,984.50, 9,638.61 and 4,190.90 is: 5,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.50 : 9,638.61 = 4,190.90 : x
  2. Step 2: Convert to fraction form
    6,984.50/9,638.61 = 4,190.90/x
  3. Step 3: Cross multiply
    6,984.50x = 9,638.61 × 4,190.90
  4. Step 4: Simplify right side
    6,984.50x = 40,394,450.65
  5. Step 5: Solve for x
    x = 40,394,450.65/6,984.50
  6. Step 6: Final answer
    x = 5,783.44

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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.