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Finding the Fourth Proportional to 6,329.48, 8,734.37 and 3,676.46

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Solution

The fourth proportional to 6,329.48, 8,734.37 and 3,676.46 is: 5,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.48 : 8,734.37 = 3,676.46 : x
  2. Step 2: Convert to fraction form
    6,329.48/8,734.37 = 3,676.46/x
  3. Step 3: Cross multiply
    6,329.48x = 8,734.37 × 3,676.46
  4. Step 4: Simplify right side
    6,329.48x = 32,111,499.88
  5. Step 5: Solve for x
    x = 32,111,499.88/6,329.48
  6. Step 6: Final answer
    x = 5,073.33

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