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Finding the Fourth Proportional to 6,211.44, 9,307.80 and 3,286.80

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Solution

The fourth proportional to 6,211.44, 9,307.80 and 3,286.80 is: 4,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.44 : 9,307.80 = 3,286.80 : x
  2. Step 2: Convert to fraction form
    6,211.44/9,307.80 = 3,286.80/x
  3. Step 3: Cross multiply
    6,211.44x = 9,307.80 × 3,286.80
  4. Step 4: Simplify right side
    6,211.44x = 30,592,877.04
  5. Step 5: Solve for x
    x = 30,592,877.04/6,211.44
  6. Step 6: Final answer
    x = 4,925.25

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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.