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Finding the Fourth Proportional to 9,593.82, 14,369.85 and 5,202

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Solution

The fourth proportional to 9,593.82, 14,369.85 and 5,202 is: 7,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.82 : 14,369.85 = 5,202 : x
  2. Step 2: Convert to fraction form
    9,593.82/14,369.85 = 5,202/x
  3. Step 3: Cross multiply
    9,593.82x = 14,369.85 × 5,202
  4. Step 4: Simplify right side
    9,593.82x = 74,751,959.70
  5. Step 5: Solve for x
    x = 74,751,959.70/9,593.82
  6. Step 6: Final answer
    x = 7,791.68

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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.