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Finding the Fourth Proportional to 6,175.44, 9,260.33 and 2,663.76

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Solution

The fourth proportional to 6,175.44, 9,260.33 and 2,663.76 is: 3,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.44 : 9,260.33 = 2,663.76 : x
  2. Step 2: Convert to fraction form
    6,175.44/9,260.33 = 2,663.76/x
  3. Step 3: Cross multiply
    6,175.44x = 9,260.33 × 2,663.76
  4. Step 4: Simplify right side
    6,175.44x = 24,667,318.05
  5. Step 5: Solve for x
    x = 24,667,318.05/6,175.44
  6. Step 6: Final answer
    x = 3,994.42

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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.