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Finding the Fourth Proportional to 9,778.92, 14,660.82 and 3,201

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Solution

The fourth proportional to 9,778.92, 14,660.82 and 3,201 is: 4,799.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.92 : 14,660.82 = 3,201 : x
  2. Step 2: Convert to fraction form
    9,778.92/14,660.82 = 3,201/x
  3. Step 3: Cross multiply
    9,778.92x = 14,660.82 × 3,201
  4. Step 4: Simplify right side
    9,778.92x = 46,929,284.82
  5. Step 5: Solve for x
    x = 46,929,284.82/9,778.92
  6. Step 6: Final answer
    x = 4,799.03

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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.