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Finding the Fourth Proportional to 37,327, 55,991.59 and 9,625

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Solution

The fourth proportional to 37,327, 55,991.59 and 9,625 is: 14,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,327 : 55,991.59 = 9,625 : x
  2. Step 2: Convert to fraction form
    37,327/55,991.59 = 9,625/x
  3. Step 3: Cross multiply
    37,327x = 55,991.59 × 9,625
  4. Step 4: Simplify right side
    37,327x = 538,919,053.75
  5. Step 5: Solve for x
    x = 538,919,053.75/37,327
  6. Step 6: Final answer
    x = 14,437.78

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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.