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Finding the Fourth Proportional to 6,205.02, 9,305.96 and 2,506.16

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Solution

The fourth proportional to 6,205.02, 9,305.96 and 2,506.16 is: 3,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.02 : 9,305.96 = 2,506.16 : x
  2. Step 2: Convert to fraction form
    6,205.02/9,305.96 = 2,506.16/x
  3. Step 3: Cross multiply
    6,205.02x = 9,305.96 × 2,506.16
  4. Step 4: Simplify right side
    6,205.02x = 23,322,165.65
  5. Step 5: Solve for x
    x = 23,322,165.65/6,205.02
  6. Step 6: Final answer
    x = 3,758.60

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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.