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Finding the Fourth Proportional to 6,532.35, 9,795.78 and 3,067.17

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Solution

The fourth proportional to 6,532.35, 9,795.78 and 3,067.17 is: 4,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.35 : 9,795.78 = 3,067.17 : x
  2. Step 2: Convert to fraction form
    6,532.35/9,795.78 = 3,067.17/x
  3. Step 3: Cross multiply
    6,532.35x = 9,795.78 × 3,067.17
  4. Step 4: Simplify right side
    6,532.35x = 30,045,322.54
  5. Step 5: Solve for x
    x = 30,045,322.54/6,532.35
  6. Step 6: Final answer
    x = 4,599.47

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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.