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Finding the Fourth Proportional to 6,485.08, 9,728.99 and 2,102.20

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Solution

The fourth proportional to 6,485.08, 9,728.99 and 2,102.20 is: 3,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.08 : 9,728.99 = 2,102.20 : x
  2. Step 2: Convert to fraction form
    6,485.08/9,728.99 = 2,102.20/x
  3. Step 3: Cross multiply
    6,485.08x = 9,728.99 × 2,102.20
  4. Step 4: Simplify right side
    6,485.08x = 20,452,253.20
  5. Step 5: Solve for x
    x = 20,452,253.20/6,485.08
  6. Step 6: Final answer
    x = 3,153.74

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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.