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Finding the Fourth Proportional to 6,830.36, 9,364.39 and 6,705.80

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Solution

The fourth proportional to 6,830.36, 9,364.39 and 6,705.80 is: 9,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.36 : 9,364.39 = 6,705.80 : x
  2. Step 2: Convert to fraction form
    6,830.36/9,364.39 = 6,705.80/x
  3. Step 3: Cross multiply
    6,830.36x = 9,364.39 × 6,705.80
  4. Step 4: Simplify right side
    6,830.36x = 62,795,662.88
  5. Step 5: Solve for x
    x = 62,795,662.88/6,830.36
  6. Step 6: Final answer
    x = 9,193.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.