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Finding the Fourth Proportional to 6,716.24, 9,262.21 and 4,197.54

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Solution

The fourth proportional to 6,716.24, 9,262.21 and 4,197.54 is: 5,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.24 : 9,262.21 = 4,197.54 : x
  2. Step 2: Convert to fraction form
    6,716.24/9,262.21 = 4,197.54/x
  3. Step 3: Cross multiply
    6,716.24x = 9,262.21 × 4,197.54
  4. Step 4: Simplify right side
    6,716.24x = 38,878,496.96
  5. Step 5: Solve for x
    x = 38,878,496.96/6,716.24
  6. Step 6: Final answer
    x = 5,788.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.