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Finding the Fourth Proportional to 6,466.37, 8,923.37 and 3,633.66

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Solution

The fourth proportional to 6,466.37, 8,923.37 and 3,633.66 is: 5,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.37 : 8,923.37 = 3,633.66 : x
  2. Step 2: Convert to fraction form
    6,466.37/8,923.37 = 3,633.66/x
  3. Step 3: Cross multiply
    6,466.37x = 8,923.37 × 3,633.66
  4. Step 4: Simplify right side
    6,466.37x = 32,424,474.47
  5. Step 5: Solve for x
    x = 32,424,474.47/6,466.37
  6. Step 6: Final answer
    x = 5,014.33

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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.