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Finding the Fourth Proportional to 6,532.62, 9,797.31 and 3,069.06

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Solution

The fourth proportional to 6,532.62, 9,797.31 and 3,069.06 is: 4,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.62 : 9,797.31 = 3,069.06 : x
  2. Step 2: Convert to fraction form
    6,532.62/9,797.31 = 3,069.06/x
  3. Step 3: Cross multiply
    6,532.62x = 9,797.31 × 3,069.06
  4. Step 4: Simplify right side
    6,532.62x = 30,068,532.23
  5. Step 5: Solve for x
    x = 30,068,532.23/6,532.62
  6. Step 6: Final answer
    x = 4,602.83

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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.