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Finding the Fourth Proportional to 6,211.64, 9,304.68 and 3,283.76

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Solution

The fourth proportional to 6,211.64, 9,304.68 and 3,283.76 is: 4,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.64 : 9,304.68 = 3,283.76 : x
  2. Step 2: Convert to fraction form
    6,211.64/9,304.68 = 3,283.76/x
  3. Step 3: Cross multiply
    6,211.64x = 9,304.68 × 3,283.76
  4. Step 4: Simplify right side
    6,211.64x = 30,554,336.00
  5. Step 5: Solve for x
    x = 30,554,336.00/6,211.64
  6. Step 6: Final answer
    x = 4,918.88

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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.