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Finding the Fourth Proportional to 9,579, 14,369.94 and 3,424.44

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Solution

The fourth proportional to 9,579, 14,369.94 and 3,424.44 is: 5,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579 : 14,369.94 = 3,424.44 : x
  2. Step 2: Convert to fraction form
    9,579/14,369.94 = 3,424.44/x
  3. Step 3: Cross multiply
    9,579x = 14,369.94 × 3,424.44
  4. Step 4: Simplify right side
    9,579x = 49,208,997.33
  5. Step 5: Solve for x
    x = 49,208,997.33/9,579
  6. Step 6: Final answer
    x = 5,137.17

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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.