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Finding the Fourth Proportional to 6,546.06, 9,803.07 and 4,198.68

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Solution

The fourth proportional to 6,546.06, 9,803.07 and 4,198.68 is: 6,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.06 : 9,803.07 = 4,198.68 : x
  2. Step 2: Convert to fraction form
    6,546.06/9,803.07 = 4,198.68/x
  3. Step 3: Cross multiply
    6,546.06x = 9,803.07 × 4,198.68
  4. Step 4: Simplify right side
    6,546.06x = 41,159,953.95
  5. Step 5: Solve for x
    x = 41,159,953.95/6,546.06
  6. Step 6: Final answer
    x = 6,287.74

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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.