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Finding the Fourth Proportional to 6,206.31, 9,311.49 and 2,506.64

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Solution

The fourth proportional to 6,206.31, 9,311.49 and 2,506.64 is: 3,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.31 : 9,311.49 = 2,506.64 : x
  2. Step 2: Convert to fraction form
    6,206.31/9,311.49 = 2,506.64/x
  3. Step 3: Cross multiply
    6,206.31x = 9,311.49 × 2,506.64
  4. Step 4: Simplify right side
    6,206.31x = 23,340,506.74
  5. Step 5: Solve for x
    x = 23,340,506.74/6,206.31
  6. Step 6: Final answer
    x = 3,760.77

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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.