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Finding the Fourth Proportional to 6,340.23, 9,510.33 and 1,723.23

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Solution

The fourth proportional to 6,340.23, 9,510.33 and 1,723.23 is: 2,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.23 : 9,510.33 = 1,723.23 : x
  2. Step 2: Convert to fraction form
    6,340.23/9,510.33 = 1,723.23/x
  3. Step 3: Cross multiply
    6,340.23x = 9,510.33 × 1,723.23
  4. Step 4: Simplify right side
    6,340.23x = 16,388,485.97
  5. Step 5: Solve for x
    x = 16,388,485.97/6,340.23
  6. Step 6: Final answer
    x = 2,584.84

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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.