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Finding the Fourth Proportional to 6,467.85, 9,698.54 and 3,543.75

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Solution

The fourth proportional to 6,467.85, 9,698.54 and 3,543.75 is: 5,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.85 : 9,698.54 = 3,543.75 : x
  2. Step 2: Convert to fraction form
    6,467.85/9,698.54 = 3,543.75/x
  3. Step 3: Cross multiply
    6,467.85x = 9,698.54 × 3,543.75
  4. Step 4: Simplify right side
    6,467.85x = 34,369,183.41
  5. Step 5: Solve for x
    x = 34,369,183.41/6,467.85
  6. Step 6: Final answer
    x = 5,313.85

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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.