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Finding the Fourth Proportional to 37,091.74, 55,637.10 and 9,012

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Solution

The fourth proportional to 37,091.74, 55,637.10 and 9,012 is: 13,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,091.74 : 55,637.10 = 9,012 : x
  2. Step 2: Convert to fraction form
    37,091.74/55,637.10 = 9,012/x
  3. Step 3: Cross multiply
    37,091.74x = 55,637.10 × 9,012
  4. Step 4: Simplify right side
    37,091.74x = 501,401,545.20
  5. Step 5: Solve for x
    x = 501,401,545.20/37,091.74
  6. Step 6: Final answer
    x = 13,517.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.