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Finding the Fourth Proportional to 6,143.01, 9,205.71 and 3,505.04

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Solution

The fourth proportional to 6,143.01, 9,205.71 and 3,505.04 is: 5,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.01 : 9,205.71 = 3,505.04 : x
  2. Step 2: Convert to fraction form
    6,143.01/9,205.71 = 3,505.04/x
  3. Step 3: Cross multiply
    6,143.01x = 9,205.71 × 3,505.04
  4. Step 4: Simplify right side
    6,143.01x = 32,266,391.65
  5. Step 5: Solve for x
    x = 32,266,391.65/6,143.01
  6. Step 6: Final answer
    x = 5,252.54

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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.