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Finding the Fourth Proportional to 6,485.80, 9,728.70 and 3,205.30

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Solution

The fourth proportional to 6,485.80, 9,728.70 and 3,205.30 is: 4,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.80 : 9,728.70 = 3,205.30 : x
  2. Step 2: Convert to fraction form
    6,485.80/9,728.70 = 3,205.30/x
  3. Step 3: Cross multiply
    6,485.80x = 9,728.70 × 3,205.30
  4. Step 4: Simplify right side
    6,485.80x = 31,183,402.11
  5. Step 5: Solve for x
    x = 31,183,402.11/6,485.80
  6. Step 6: Final answer
    x = 4,807.95

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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.