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Finding the Fourth Proportional to 6,466.25, 8,923.14 and 3,813.09

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Solution

The fourth proportional to 6,466.25, 8,923.14 and 3,813.09 is: 5,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.25 : 8,923.14 = 3,813.09 : x
  2. Step 2: Convert to fraction form
    6,466.25/8,923.14 = 3,813.09/x
  3. Step 3: Cross multiply
    6,466.25x = 8,923.14 × 3,813.09
  4. Step 4: Simplify right side
    6,466.25x = 34,024,735.90
  5. Step 5: Solve for x
    x = 34,024,735.90/6,466.25
  6. Step 6: Final answer
    x = 5,261.90

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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.