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Finding the Fourth Proportional to 9,259.30, 13,896.72 and 3,998.28

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Solution

The fourth proportional to 9,259.30, 13,896.72 and 3,998.28 is: 6,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.30 : 13,896.72 = 3,998.28 : x
  2. Step 2: Convert to fraction form
    9,259.30/13,896.72 = 3,998.28/x
  3. Step 3: Cross multiply
    9,259.30x = 13,896.72 × 3,998.28
  4. Step 4: Simplify right side
    9,259.30x = 55,562,977.64
  5. Step 5: Solve for x
    x = 55,562,977.64/9,259.30
  6. Step 6: Final answer
    x = 6,000.78

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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.