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Finding the Fourth Proportional to 9,571.52, 14,326.56 and 5,118.05

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Solution

The fourth proportional to 9,571.52, 14,326.56 and 5,118.05 is: 7,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.52 : 14,326.56 = 5,118.05 : x
  2. Step 2: Convert to fraction form
    9,571.52/14,326.56 = 5,118.05/x
  3. Step 3: Cross multiply
    9,571.52x = 14,326.56 × 5,118.05
  4. Step 4: Simplify right side
    9,571.52x = 73,324,086.22
  5. Step 5: Solve for x
    x = 73,324,086.22/9,571.52
  6. Step 6: Final answer
    x = 7,660.65

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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.