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Finding the Fourth Proportional to 9,254.09, 13,882.44 and 3,012.09

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Solution

The fourth proportional to 9,254.09, 13,882.44 and 3,012.09 is: 4,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.09 : 13,882.44 = 3,012.09 : x
  2. Step 2: Convert to fraction form
    9,254.09/13,882.44 = 3,012.09/x
  3. Step 3: Cross multiply
    9,254.09x = 13,882.44 × 3,012.09
  4. Step 4: Simplify right side
    9,254.09x = 41,815,158.70
  5. Step 5: Solve for x
    x = 41,815,158.70/9,254.09
  6. Step 6: Final answer
    x = 4,518.56

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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.