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Finding the Fourth Proportional to 6,515.54, 9,778.47 and 3,396.44

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Solution

The fourth proportional to 6,515.54, 9,778.47 and 3,396.44 is: 5,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.54 : 9,778.47 = 3,396.44 : x
  2. Step 2: Convert to fraction form
    6,515.54/9,778.47 = 3,396.44/x
  3. Step 3: Cross multiply
    6,515.54x = 9,778.47 × 3,396.44
  4. Step 4: Simplify right side
    6,515.54x = 33,211,986.65
  5. Step 5: Solve for x
    x = 33,211,986.65/6,515.54
  6. Step 6: Final answer
    x = 5,097.35

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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.