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Finding the Fourth Proportional to 6,173.92, 9,258.45 and 3,578.68

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Solution

The fourth proportional to 6,173.92, 9,258.45 and 3,578.68 is: 5,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.92 : 9,258.45 = 3,578.68 : x
  2. Step 2: Convert to fraction form
    6,173.92/9,258.45 = 3,578.68/x
  3. Step 3: Cross multiply
    6,173.92x = 9,258.45 × 3,578.68
  4. Step 4: Simplify right side
    6,173.92x = 33,133,029.85
  5. Step 5: Solve for x
    x = 33,133,029.85/6,173.92
  6. Step 6: Final answer
    x = 5,366.61

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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.