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Finding the Fourth Proportional to 6,172.68, 9,258.49 and 4,996.26

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Solution

The fourth proportional to 6,172.68, 9,258.49 and 4,996.26 is: 7,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.68 : 9,258.49 = 4,996.26 : x
  2. Step 2: Convert to fraction form
    6,172.68/9,258.49 = 4,996.26/x
  3. Step 3: Cross multiply
    6,172.68x = 9,258.49 × 4,996.26
  4. Step 4: Simplify right side
    6,172.68x = 46,257,823.25
  5. Step 5: Solve for x
    x = 46,257,823.25/6,172.68
  6. Step 6: Final answer
    x = 7,493.96

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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.