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Finding the Fourth Proportional to 37,108.72, 55,662.36 and 9,406

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Solution

The fourth proportional to 37,108.72, 55,662.36 and 9,406 is: 14,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,108.72 : 55,662.36 = 9,406 : x
  2. Step 2: Convert to fraction form
    37,108.72/55,662.36 = 9,406/x
  3. Step 3: Cross multiply
    37,108.72x = 55,662.36 × 9,406
  4. Step 4: Simplify right side
    37,108.72x = 523,560,158.16
  5. Step 5: Solve for x
    x = 523,560,158.16/37,108.72
  6. Step 6: Final answer
    x = 14,108.82

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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.