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Finding the Fourth Proportional to 9,704.92, 14,558.82 and 4,773.88

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Solution

The fourth proportional to 9,704.92, 14,558.82 and 4,773.88 is: 7,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.92 : 14,558.82 = 4,773.88 : x
  2. Step 2: Convert to fraction form
    9,704.92/14,558.82 = 4,773.88/x
  3. Step 3: Cross multiply
    9,704.92x = 14,558.82 × 4,773.88
  4. Step 4: Simplify right side
    9,704.92x = 69,502,059.62
  5. Step 5: Solve for x
    x = 69,502,059.62/9,704.92
  6. Step 6: Final answer
    x = 7,161.53

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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.