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Finding the Fourth Proportional to 6,323.94, 9,485.91 and 3,514.56

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Solution

The fourth proportional to 6,323.94, 9,485.91 and 3,514.56 is: 5,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.94 : 9,485.91 = 3,514.56 : x
  2. Step 2: Convert to fraction form
    6,323.94/9,485.91 = 3,514.56/x
  3. Step 3: Cross multiply
    6,323.94x = 9,485.91 × 3,514.56
  4. Step 4: Simplify right side
    6,323.94x = 33,338,799.85
  5. Step 5: Solve for x
    x = 33,338,799.85/6,323.94
  6. Step 6: Final answer
    x = 5,271.84

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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.