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Finding the Fourth Proportional to 6,104.43, 9,159.89 and 3,185.19

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Solution

The fourth proportional to 6,104.43, 9,159.89 and 3,185.19 is: 4,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.43 : 9,159.89 = 3,185.19 : x
  2. Step 2: Convert to fraction form
    6,104.43/9,159.89 = 3,185.19/x
  3. Step 3: Cross multiply
    6,104.43x = 9,159.89 × 3,185.19
  4. Step 4: Simplify right side
    6,104.43x = 29,175,974.10
  5. Step 5: Solve for x
    x = 29,175,974.10/6,104.43
  6. Step 6: Final answer
    x = 4,779.48

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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.