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Finding the Fourth Proportional to 6,486.18, 9,732.30 and 3,364.49

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Solution

The fourth proportional to 6,486.18, 9,732.30 and 3,364.49 is: 5,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.18 : 9,732.30 = 3,364.49 : x
  2. Step 2: Convert to fraction form
    6,486.18/9,732.30 = 3,364.49/x
  3. Step 3: Cross multiply
    6,486.18x = 9,732.30 × 3,364.49
  4. Step 4: Simplify right side
    6,486.18x = 32,744,201.92
  5. Step 5: Solve for x
    x = 32,744,201.92/6,486.18
  6. Step 6: Final answer
    x = 5,048.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.