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Finding the Fourth Proportional to 6,171.70, 9,257.55 and 3,676.90

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Solution

The fourth proportional to 6,171.70, 9,257.55 and 3,676.90 is: 5,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.70 : 9,257.55 = 3,676.90 : x
  2. Step 2: Convert to fraction form
    6,171.70/9,257.55 = 3,676.90/x
  3. Step 3: Cross multiply
    6,171.70x = 9,257.55 × 3,676.90
  4. Step 4: Simplify right side
    6,171.70x = 34,039,085.60
  5. Step 5: Solve for x
    x = 34,039,085.60/6,171.70
  6. Step 6: Final answer
    x = 5,515.35

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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.