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Finding the Fourth Proportional to 9,704.57, 14,559.46 and 3,465.23

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Solution

The fourth proportional to 9,704.57, 14,559.46 and 3,465.23 is: 5,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.57 : 14,559.46 = 3,465.23 : x
  2. Step 2: Convert to fraction form
    9,704.57/14,559.46 = 3,465.23/x
  3. Step 3: Cross multiply
    9,704.57x = 14,559.46 × 3,465.23
  4. Step 4: Simplify right side
    9,704.57x = 50,451,905.31
  5. Step 5: Solve for x
    x = 50,451,905.31/9,704.57
  6. Step 6: Final answer
    x = 5,198.78

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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.