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Finding the Fourth Proportional to 6,806.10, 10,214.04 and 4,609.38

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Solution

The fourth proportional to 6,806.10, 10,214.04 and 4,609.38 is: 6,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.10 : 10,214.04 = 4,609.38 : x
  2. Step 2: Convert to fraction form
    6,806.10/10,214.04 = 4,609.38/x
  3. Step 3: Cross multiply
    6,806.10x = 10,214.04 × 4,609.38
  4. Step 4: Simplify right side
    6,806.10x = 47,080,391.70
  5. Step 5: Solve for x
    x = 47,080,391.70/6,806.10
  6. Step 6: Final answer
    x = 6,917.38

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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.