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Finding the Fourth Proportional to 9,201.30, 13,796.78 and 4,511.24

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Solution

The fourth proportional to 9,201.30, 13,796.78 and 4,511.24 is: 6,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.30 : 13,796.78 = 4,511.24 : x
  2. Step 2: Convert to fraction form
    9,201.30/13,796.78 = 4,511.24/x
  3. Step 3: Cross multiply
    9,201.30x = 13,796.78 × 4,511.24
  4. Step 4: Simplify right side
    9,201.30x = 62,240,648.99
  5. Step 5: Solve for x
    x = 62,240,648.99/9,201.30
  6. Step 6: Final answer
    x = 6,764.33

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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.