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Finding the Fourth Proportional to 6,485.38, 9,712.48 and 3,703.63

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Solution

The fourth proportional to 6,485.38, 9,712.48 and 3,703.63 is: 5,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.38 : 9,712.48 = 3,703.63 : x
  2. Step 2: Convert to fraction form
    6,485.38/9,712.48 = 3,703.63/x
  3. Step 3: Cross multiply
    6,485.38x = 9,712.48 × 3,703.63
  4. Step 4: Simplify right side
    6,485.38x = 35,971,365.22
  5. Step 5: Solve for x
    x = 35,971,365.22/6,485.38
  6. Step 6: Final answer
    x = 5,546.54

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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.