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Finding the Fourth Proportional to 6,563.82, 9,846.78 and 3,277.02

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Solution

The fourth proportional to 6,563.82, 9,846.78 and 3,277.02 is: 4,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.82 : 9,846.78 = 3,277.02 : x
  2. Step 2: Convert to fraction form
    6,563.82/9,846.78 = 3,277.02/x
  3. Step 3: Cross multiply
    6,563.82x = 9,846.78 × 3,277.02
  4. Step 4: Simplify right side
    6,563.82x = 32,268,095.00
  5. Step 5: Solve for x
    x = 32,268,095.00/6,563.82
  6. Step 6: Final answer
    x = 4,916.05

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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.