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Finding the Fourth Proportional to 9,704.50, 14,544.56 and 4,151.32

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Solution

The fourth proportional to 9,704.50, 14,544.56 and 4,151.32 is: 6,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.50 : 14,544.56 = 4,151.32 : x
  2. Step 2: Convert to fraction form
    9,704.50/14,544.56 = 4,151.32/x
  3. Step 3: Cross multiply
    9,704.50x = 14,544.56 × 4,151.32
  4. Step 4: Simplify right side
    9,704.50x = 60,379,096.84
  5. Step 5: Solve for x
    x = 60,379,096.84/9,704.50
  6. Step 6: Final answer
    x = 6,221.76

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Why These Related Problems?

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