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Finding the Fourth Proportional to 9,616.73, 14,424.99 and 3,042.97

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Solution

The fourth proportional to 9,616.73, 14,424.99 and 3,042.97 is: 4,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.73 : 14,424.99 = 3,042.97 : x
  2. Step 2: Convert to fraction form
    9,616.73/14,424.99 = 3,042.97/x
  3. Step 3: Cross multiply
    9,616.73x = 14,424.99 × 3,042.97
  4. Step 4: Simplify right side
    9,616.73x = 43,894,764.35
  5. Step 5: Solve for x
    x = 43,894,764.35/9,616.73
  6. Step 6: Final answer
    x = 4,564.42

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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.