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Finding the Fourth Proportional to 6,172.21, 9,258.81 and 2,012.14

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Solution

The fourth proportional to 6,172.21, 9,258.81 and 2,012.14 is: 3,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.21 : 9,258.81 = 2,012.14 : x
  2. Step 2: Convert to fraction form
    6,172.21/9,258.81 = 2,012.14/x
  3. Step 3: Cross multiply
    6,172.21x = 9,258.81 × 2,012.14
  4. Step 4: Simplify right side
    6,172.21x = 18,630,021.95
  5. Step 5: Solve for x
    x = 18,630,021.95/6,172.21
  6. Step 6: Final answer
    x = 3,018.37

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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.