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Finding the Fourth Proportional to 9,712.80, 14,571.60 and 4,163.52

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Solution

The fourth proportional to 9,712.80, 14,571.60 and 4,163.52 is: 6,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.80 : 14,571.60 = 4,163.52 : x
  2. Step 2: Convert to fraction form
    9,712.80/14,571.60 = 4,163.52/x
  3. Step 3: Cross multiply
    9,712.80x = 14,571.60 × 4,163.52
  4. Step 4: Simplify right side
    9,712.80x = 60,669,148.03
  5. Step 5: Solve for x
    x = 60,669,148.03/9,712.80
  6. Step 6: Final answer
    x = 6,246.31

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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.