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Finding the Fourth Proportional to 6,526.96, 9,796.92 and 5,081.92

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Solution

The fourth proportional to 6,526.96, 9,796.92 and 5,081.92 is: 7,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.96 : 9,796.92 = 5,081.92 : x
  2. Step 2: Convert to fraction form
    6,526.96/9,796.92 = 5,081.92/x
  3. Step 3: Cross multiply
    6,526.96x = 9,796.92 × 5,081.92
  4. Step 4: Simplify right side
    6,526.96x = 49,787,163.69
  5. Step 5: Solve for x
    x = 49,787,163.69/6,526.96
  6. Step 6: Final answer
    x = 7,627.93

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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.