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Finding the Fourth Proportional to 6,194.88, 9,297.18 and 4,003.02

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Solution

The fourth proportional to 6,194.88, 9,297.18 and 4,003.02 is: 6,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.88 : 9,297.18 = 4,003.02 : x
  2. Step 2: Convert to fraction form
    6,194.88/9,297.18 = 4,003.02/x
  3. Step 3: Cross multiply
    6,194.88x = 9,297.18 × 4,003.02
  4. Step 4: Simplify right side
    6,194.88x = 37,216,797.48
  5. Step 5: Solve for x
    x = 37,216,797.48/6,194.88
  6. Step 6: Final answer
    x = 6,007.67

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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.