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Finding the Fourth Proportional to 6,216.97, 9,319.47 and 3,989.57

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Solution

The fourth proportional to 6,216.97, 9,319.47 and 3,989.57 is: 5,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.97 : 9,319.47 = 3,989.57 : x
  2. Step 2: Convert to fraction form
    6,216.97/9,319.47 = 3,989.57/x
  3. Step 3: Cross multiply
    6,216.97x = 9,319.47 × 3,989.57
  4. Step 4: Simplify right side
    6,216.97x = 37,180,635.09
  5. Step 5: Solve for x
    x = 37,180,635.09/6,216.97
  6. Step 6: Final answer
    x = 5,980.51

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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.