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Finding the Fourth Proportional to 6,469.97, 8,931.60 and 4,231.94

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Solution

The fourth proportional to 6,469.97, 8,931.60 and 4,231.94 is: 5,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.97 : 8,931.60 = 4,231.94 : x
  2. Step 2: Convert to fraction form
    6,469.97/8,931.60 = 4,231.94/x
  3. Step 3: Cross multiply
    6,469.97x = 8,931.60 × 4,231.94
  4. Step 4: Simplify right side
    6,469.97x = 37,797,950.65
  5. Step 5: Solve for x
    x = 37,797,950.65/6,469.97
  6. Step 6: Final answer
    x = 5,842.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.