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Finding the Fourth Proportional to 6,467.24, 9,698.84 and 4,287.53

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Solution

The fourth proportional to 6,467.24, 9,698.84 and 4,287.53 is: 6,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.24 : 9,698.84 = 4,287.53 : x
  2. Step 2: Convert to fraction form
    6,467.24/9,698.84 = 4,287.53/x
  3. Step 3: Cross multiply
    6,467.24x = 9,698.84 × 4,287.53
  4. Step 4: Simplify right side
    6,467.24x = 41,584,086.35
  5. Step 5: Solve for x
    x = 41,584,086.35/6,467.24
  6. Step 6: Final answer
    x = 6,429.96

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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.