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Finding the Fourth Proportional to 6,197.03, 9,297.37 and 2,497.36

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Solution

The fourth proportional to 6,197.03, 9,297.37 and 2,497.36 is: 3,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.03 : 9,297.37 = 2,497.36 : x
  2. Step 2: Convert to fraction form
    6,197.03/9,297.37 = 2,497.36/x
  3. Step 3: Cross multiply
    6,197.03x = 9,297.37 × 2,497.36
  4. Step 4: Simplify right side
    6,197.03x = 23,218,879.94
  5. Step 5: Solve for x
    x = 23,218,879.94/6,197.03
  6. Step 6: Final answer
    x = 3,746.78

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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.