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Finding the Fourth Proportional to 6,499.09, 8,968.74 and 3,514.92

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Solution

The fourth proportional to 6,499.09, 8,968.74 and 3,514.92 is: 4,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.09 : 8,968.74 = 3,514.92 : x
  2. Step 2: Convert to fraction form
    6,499.09/8,968.74 = 3,514.92/x
  3. Step 3: Cross multiply
    6,499.09x = 8,968.74 × 3,514.92
  4. Step 4: Simplify right side
    6,499.09x = 31,524,447.72
  5. Step 5: Solve for x
    x = 31,524,447.72/6,499.09
  6. Step 6: Final answer
    x = 4,850.59

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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.