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Finding the Fourth Proportional to 6,469.30, 9,703.94 and 2,086.84

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Solution

The fourth proportional to 6,469.30, 9,703.94 and 2,086.84 is: 3,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.30 : 9,703.94 = 2,086.84 : x
  2. Step 2: Convert to fraction form
    6,469.30/9,703.94 = 2,086.84/x
  3. Step 3: Cross multiply
    6,469.30x = 9,703.94 × 2,086.84
  4. Step 4: Simplify right side
    6,469.30x = 20,250,570.15
  5. Step 5: Solve for x
    x = 20,250,570.15/6,469.30
  6. Step 6: Final answer
    x = 3,130.26

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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.