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Finding the Fourth Proportional to 9,704.56, 13,391.04 and 5,512

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Solution

The fourth proportional to 9,704.56, 13,391.04 and 5,512 is: 7,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.56 : 13,391.04 = 5,512 : x
  2. Step 2: Convert to fraction form
    9,704.56/13,391.04 = 5,512/x
  3. Step 3: Cross multiply
    9,704.56x = 13,391.04 × 5,512
  4. Step 4: Simplify right side
    9,704.56x = 73,811,412.48
  5. Step 5: Solve for x
    x = 73,811,412.48/9,704.56
  6. Step 6: Final answer
    x = 7,605.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.