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Finding the Fourth Proportional to 9,713.37, 14,571.36 and 3,137.97

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Solution

The fourth proportional to 9,713.37, 14,571.36 and 3,137.97 is: 4,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.37 : 14,571.36 = 3,137.97 : x
  2. Step 2: Convert to fraction form
    9,713.37/14,571.36 = 3,137.97/x
  3. Step 3: Cross multiply
    9,713.37x = 14,571.36 × 3,137.97
  4. Step 4: Simplify right side
    9,713.37x = 45,724,490.54
  5. Step 5: Solve for x
    x = 45,724,490.54/9,713.37
  6. Step 6: Final answer
    x = 4,707.38

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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.