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Finding the Fourth Proportional to 6,485.06, 9,729.59 and 2,324.97

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Solution

The fourth proportional to 6,485.06, 9,729.59 and 2,324.97 is: 3,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.06 : 9,729.59 = 2,324.97 : x
  2. Step 2: Convert to fraction form
    6,485.06/9,729.59 = 2,324.97/x
  3. Step 3: Cross multiply
    6,485.06x = 9,729.59 × 2,324.97
  4. Step 4: Simplify right side
    6,485.06x = 22,620,993.24
  5. Step 5: Solve for x
    x = 22,620,993.24/6,485.06
  6. Step 6: Final answer
    x = 3,488.17

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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.