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Finding the Fourth Proportional to 9,372.78, 14,059.16 and 3,828.73

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Solution

The fourth proportional to 9,372.78, 14,059.16 and 3,828.73 is: 5,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.78 : 14,059.16 = 3,828.73 : x
  2. Step 2: Convert to fraction form
    9,372.78/14,059.16 = 3,828.73/x
  3. Step 3: Cross multiply
    9,372.78x = 14,059.16 × 3,828.73
  4. Step 4: Simplify right side
    9,372.78x = 53,828,727.67
  5. Step 5: Solve for x
    x = 53,828,727.67/9,372.78
  6. Step 6: Final answer
    x = 5,743.09

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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.