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Finding the Fourth Proportional to 9,286, 13,930.44 and 3,044.56

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Solution

The fourth proportional to 9,286, 13,930.44 and 3,044.56 is: 4,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286 : 13,930.44 = 3,044.56 : x
  2. Step 2: Convert to fraction form
    9,286/13,930.44 = 3,044.56/x
  3. Step 3: Cross multiply
    9,286x = 13,930.44 × 3,044.56
  4. Step 4: Simplify right side
    9,286x = 42,412,060.41
  5. Step 5: Solve for x
    x = 42,412,060.41/9,286
  6. Step 6: Final answer
    x = 4,567.31

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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.