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Finding the Fourth Proportional to 6,546.99, 9,034.68 and 3,562.83

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Solution

The fourth proportional to 6,546.99, 9,034.68 and 3,562.83 is: 4,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.99 : 9,034.68 = 3,562.83 : x
  2. Step 2: Convert to fraction form
    6,546.99/9,034.68 = 3,562.83/x
  3. Step 3: Cross multiply
    6,546.99x = 9,034.68 × 3,562.83
  4. Step 4: Simplify right side
    6,546.99x = 32,189,028.94
  5. Step 5: Solve for x
    x = 32,189,028.94/6,546.99
  6. Step 6: Final answer
    x = 4,916.61

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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.