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Finding the Fourth Proportional to 37,328, 55,993.08 and 9,626

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Solution

The fourth proportional to 37,328, 55,993.08 and 9,626 is: 14,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328 : 55,993.08 = 9,626 : x
  2. Step 2: Convert to fraction form
    37,328/55,993.08 = 9,626/x
  3. Step 3: Cross multiply
    37,328x = 55,993.08 × 9,626
  4. Step 4: Simplify right side
    37,328x = 538,989,388.08
  5. Step 5: Solve for x
    x = 538,989,388.08/37,328
  6. Step 6: Final answer
    x = 14,439.28

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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.