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Finding the Fourth Proportional to 6,423.38, 9,635.06 and 1,806.38

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Solution

The fourth proportional to 6,423.38, 9,635.06 and 1,806.38 is: 2,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.38 : 9,635.06 = 1,806.38 : x
  2. Step 2: Convert to fraction form
    6,423.38/9,635.06 = 1,806.38/x
  3. Step 3: Cross multiply
    6,423.38x = 9,635.06 × 1,806.38
  4. Step 4: Simplify right side
    6,423.38x = 17,404,579.68
  5. Step 5: Solve for x
    x = 17,404,579.68/6,423.38
  6. Step 6: Final answer
    x = 2,709.57

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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.