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Finding the Fourth Proportional to 6,172.47, 9,258.71 and 2,012.48

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Solution

The fourth proportional to 6,172.47, 9,258.71 and 2,012.48 is: 3,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.47 : 9,258.71 = 2,012.48 : x
  2. Step 2: Convert to fraction form
    6,172.47/9,258.71 = 2,012.48/x
  3. Step 3: Cross multiply
    6,172.47x = 9,258.71 × 2,012.48
  4. Step 4: Simplify right side
    6,172.47x = 18,632,912.34
  5. Step 5: Solve for x
    x = 18,632,912.34/6,172.47
  6. Step 6: Final answer
    x = 3,018.71

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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.