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Finding the Fourth Proportional to 6,175.42, 9,260.33 and 2,663.77

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Solution

The fourth proportional to 6,175.42, 9,260.33 and 2,663.77 is: 3,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.42 : 9,260.33 = 2,663.77 : x
  2. Step 2: Convert to fraction form
    6,175.42/9,260.33 = 2,663.77/x
  3. Step 3: Cross multiply
    6,175.42x = 9,260.33 × 2,663.77
  4. Step 4: Simplify right side
    6,175.42x = 24,667,329.62
  5. Step 5: Solve for x
    x = 24,667,329.62/6,175.42
  6. Step 6: Final answer
    x = 3,994.44

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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.