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Finding the Fourth Proportional to 9,571.72, 14,326.84 and 5,118.24

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Solution

The fourth proportional to 9,571.72, 14,326.84 and 5,118.24 is: 7,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.72 : 14,326.84 = 5,118.24 : x
  2. Step 2: Convert to fraction form
    9,571.72/14,326.84 = 5,118.24/x
  3. Step 3: Cross multiply
    9,571.72x = 14,326.84 × 5,118.24
  4. Step 4: Simplify right side
    9,571.72x = 73,328,185.10
  5. Step 5: Solve for x
    x = 73,328,185.10/9,571.72
  6. Step 6: Final answer
    x = 7,660.92

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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.