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Finding the Fourth Proportional to 9,288.44, 13,932.48 and 2,268.50

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Solution

The fourth proportional to 9,288.44, 13,932.48 and 2,268.50 is: 3,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.44 : 13,932.48 = 2,268.50 : x
  2. Step 2: Convert to fraction form
    9,288.44/13,932.48 = 2,268.50/x
  3. Step 3: Cross multiply
    9,288.44x = 13,932.48 × 2,268.50
  4. Step 4: Simplify right side
    9,288.44x = 31,605,830.88
  5. Step 5: Solve for x
    x = 31,605,830.88/9,288.44
  6. Step 6: Final answer
    x = 3,402.71

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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.