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Finding the Fourth Proportional to 6,340.44, 9,510.69 and 3,842.25

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Solution

The fourth proportional to 6,340.44, 9,510.69 and 3,842.25 is: 5,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.44 : 9,510.69 = 3,842.25 : x
  2. Step 2: Convert to fraction form
    6,340.44/9,510.69 = 3,842.25/x
  3. Step 3: Cross multiply
    6,340.44x = 9,510.69 × 3,842.25
  4. Step 4: Simplify right side
    6,340.44x = 36,542,448.65
  5. Step 5: Solve for x
    x = 36,542,448.65/6,340.44
  6. Step 6: Final answer
    x = 5,763.39

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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.