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Finding the Fourth Proportional to 9,950.16, 13,736.76 and 5,972.28

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Solution

The fourth proportional to 9,950.16, 13,736.76 and 5,972.28 is: 8,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.16 : 13,736.76 = 5,972.28 : x
  2. Step 2: Convert to fraction form
    9,950.16/13,736.76 = 5,972.28/x
  3. Step 3: Cross multiply
    9,950.16x = 13,736.76 × 5,972.28
  4. Step 4: Simplify right side
    9,950.16x = 82,039,777.01
  5. Step 5: Solve for x
    x = 82,039,777.01/9,950.16
  6. Step 6: Final answer
    x = 8,245.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.