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Finding the Fourth Proportional to 9,280.54, 12,799.92 and 5,745.70

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Solution

The fourth proportional to 9,280.54, 12,799.92 and 5,745.70 is: 7,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.54 : 12,799.92 = 5,745.70 : x
  2. Step 2: Convert to fraction form
    9,280.54/12,799.92 = 5,745.70/x
  3. Step 3: Cross multiply
    9,280.54x = 12,799.92 × 5,745.70
  4. Step 4: Simplify right side
    9,280.54x = 73,544,500.34
  5. Step 5: Solve for x
    x = 73,544,500.34/9,280.54
  6. Step 6: Final answer
    x = 7,924.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.