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Finding the Fourth Proportional to 9,648.70, 14,469.45 and 3,804.10

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Solution

The fourth proportional to 9,648.70, 14,469.45 and 3,804.10 is: 5,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.70 : 14,469.45 = 3,804.10 : x
  2. Step 2: Convert to fraction form
    9,648.70/14,469.45 = 3,804.10/x
  3. Step 3: Cross multiply
    9,648.70x = 14,469.45 × 3,804.10
  4. Step 4: Simplify right side
    9,648.70x = 55,043,234.75
  5. Step 5: Solve for x
    x = 55,043,234.75/9,648.70
  6. Step 6: Final answer
    x = 5,704.73

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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.