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Finding the Fourth Proportional to 6,486.80, 9,733.25 and 3,365.12

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Solution

The fourth proportional to 6,486.80, 9,733.25 and 3,365.12 is: 5,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.80 : 9,733.25 = 3,365.12 : x
  2. Step 2: Convert to fraction form
    6,486.80/9,733.25 = 3,365.12/x
  3. Step 3: Cross multiply
    6,486.80x = 9,733.25 × 3,365.12
  4. Step 4: Simplify right side
    6,486.80x = 32,753,554.24
  5. Step 5: Solve for x
    x = 32,753,554.24/6,486.80
  6. Step 6: Final answer
    x = 5,049.26

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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.