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Finding the Fourth Proportional to 6,807.75, 9,394.25 and 3,782.85

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Solution

The fourth proportional to 6,807.75, 9,394.25 and 3,782.85 is: 5,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.75 : 9,394.25 = 3,782.85 : x
  2. Step 2: Convert to fraction form
    6,807.75/9,394.25 = 3,782.85/x
  3. Step 3: Cross multiply
    6,807.75x = 9,394.25 × 3,782.85
  4. Step 4: Simplify right side
    6,807.75x = 35,537,019.70
  5. Step 5: Solve for x
    x = 35,537,019.70/6,807.75
  6. Step 6: Final answer
    x = 5,220.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.