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Finding the Fourth Proportional to 6,206.76, 9,307.21 and 2,255.27

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Solution

The fourth proportional to 6,206.76, 9,307.21 and 2,255.27 is: 3,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.76 : 9,307.21 = 2,255.27 : x
  2. Step 2: Convert to fraction form
    6,206.76/9,307.21 = 2,255.27/x
  3. Step 3: Cross multiply
    6,206.76x = 9,307.21 × 2,255.27
  4. Step 4: Simplify right side
    6,206.76x = 20,990,223.55
  5. Step 5: Solve for x
    x = 20,990,223.55/6,206.76
  6. Step 6: Final answer
    x = 3,381.83

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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.