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Finding the Fourth Proportional to 9,739.28, 14,604.24 and 5,054.56

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Solution

The fourth proportional to 9,739.28, 14,604.24 and 5,054.56 is: 7,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.28 : 14,604.24 = 5,054.56 : x
  2. Step 2: Convert to fraction form
    9,739.28/14,604.24 = 5,054.56/x
  3. Step 3: Cross multiply
    9,739.28x = 14,604.24 × 5,054.56
  4. Step 4: Simplify right side
    9,739.28x = 73,818,007.33
  5. Step 5: Solve for x
    x = 73,818,007.33/9,739.28
  6. Step 6: Final answer
    x = 7,579.41

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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.