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Finding the Fourth Proportional to 6,328.38, 8,733.15 and 3,677.34

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Solution

The fourth proportional to 6,328.38, 8,733.15 and 3,677.34 is: 5,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.38 : 8,733.15 = 3,677.34 : x
  2. Step 2: Convert to fraction form
    6,328.38/8,733.15 = 3,677.34/x
  3. Step 3: Cross multiply
    6,328.38x = 8,733.15 × 3,677.34
  4. Step 4: Simplify right side
    6,328.38x = 32,114,761.82
  5. Step 5: Solve for x
    x = 32,114,761.82/6,328.38
  6. Step 6: Final answer
    x = 5,074.72

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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.