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Finding the Fourth Proportional to 6,139.10, 9,214.59 and 3,676.70

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Solution

The fourth proportional to 6,139.10, 9,214.59 and 3,676.70 is: 5,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.10 : 9,214.59 = 3,676.70 : x
  2. Step 2: Convert to fraction form
    6,139.10/9,214.59 = 3,676.70/x
  3. Step 3: Cross multiply
    6,139.10x = 9,214.59 × 3,676.70
  4. Step 4: Simplify right side
    6,139.10x = 33,879,283.05
  5. Step 5: Solve for x
    x = 33,879,283.05/6,139.10
  6. Step 6: Final answer
    x = 5,518.61

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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.