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Finding the Fourth Proportional to 6,766.15, 9,337.35 and 3,782.14

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Solution

The fourth proportional to 6,766.15, 9,337.35 and 3,782.14 is: 5,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.15 : 9,337.35 = 3,782.14 : x
  2. Step 2: Convert to fraction form
    6,766.15/9,337.35 = 3,782.14/x
  3. Step 3: Cross multiply
    6,766.15x = 9,337.35 × 3,782.14
  4. Step 4: Simplify right side
    6,766.15x = 35,315,197.65
  5. Step 5: Solve for x
    x = 35,315,197.65/6,766.15
  6. Step 6: Final answer
    x = 5,219.40

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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.