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Finding the Fourth Proportional to 6,208.40, 9,309.90 and 2,046.80

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Solution

The fourth proportional to 6,208.40, 9,309.90 and 2,046.80 is: 3,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.40 : 9,309.90 = 2,046.80 : x
  2. Step 2: Convert to fraction form
    6,208.40/9,309.90 = 2,046.80/x
  3. Step 3: Cross multiply
    6,208.40x = 9,309.90 × 2,046.80
  4. Step 4: Simplify right side
    6,208.40x = 19,055,503.32
  5. Step 5: Solve for x
    x = 19,055,503.32/6,208.40
  6. Step 6: Final answer
    x = 3,069.31

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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.