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Finding the Fourth Proportional to 6,499.44, 9,749.16 and 3,039.12

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Solution

The fourth proportional to 6,499.44, 9,749.16 and 3,039.12 is: 4,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.44 : 9,749.16 = 3,039.12 : x
  2. Step 2: Convert to fraction form
    6,499.44/9,749.16 = 3,039.12/x
  3. Step 3: Cross multiply
    6,499.44x = 9,749.16 × 3,039.12
  4. Step 4: Simplify right side
    6,499.44x = 29,628,867.14
  5. Step 5: Solve for x
    x = 29,628,867.14/6,499.44
  6. Step 6: Final answer
    x = 4,558.68

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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.