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Finding the Fourth Proportional to 6,515.96, 9,749.72 and 3,884.90

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Solution

The fourth proportional to 6,515.96, 9,749.72 and 3,884.90 is: 5,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.96 : 9,749.72 = 3,884.90 : x
  2. Step 2: Convert to fraction form
    6,515.96/9,749.72 = 3,884.90/x
  3. Step 3: Cross multiply
    6,515.96x = 9,749.72 × 3,884.90
  4. Step 4: Simplify right side
    6,515.96x = 37,876,626.34
  5. Step 5: Solve for x
    x = 37,876,626.34/6,515.96
  6. Step 6: Final answer
    x = 5,812.90

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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.