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Finding the Fourth Proportional to 6,546.85, 9,803.87 and 5,167.68

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Solution

The fourth proportional to 6,546.85, 9,803.87 and 5,167.68 is: 7,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.85 : 9,803.87 = 5,167.68 : x
  2. Step 2: Convert to fraction form
    6,546.85/9,803.87 = 5,167.68/x
  3. Step 3: Cross multiply
    6,546.85x = 9,803.87 × 5,167.68
  4. Step 4: Simplify right side
    6,546.85x = 50,663,262.92
  5. Step 5: Solve for x
    x = 50,663,262.92/6,546.85
  6. Step 6: Final answer
    x = 7,738.57

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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.