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Finding the Fourth Proportional to 9,775.89, 14,665.96 and 3,201.83

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Solution

The fourth proportional to 9,775.89, 14,665.96 and 3,201.83 is: 4,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.89 : 14,665.96 = 3,201.83 : x
  2. Step 2: Convert to fraction form
    9,775.89/14,665.96 = 3,201.83/x
  3. Step 3: Cross multiply
    9,775.89x = 14,665.96 × 3,201.83
  4. Step 4: Simplify right side
    9,775.89x = 46,957,896.38
  5. Step 5: Solve for x
    x = 46,957,896.38/9,775.89
  6. Step 6: Final answer
    x = 4,803.44

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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.