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Finding the Fourth Proportional to 9,950.18, 13,728.29 and 5,969.84

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Solution

The fourth proportional to 9,950.18, 13,728.29 and 5,969.84 is: 8,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.18 : 13,728.29 = 5,969.84 : x
  2. Step 2: Convert to fraction form
    9,950.18/13,728.29 = 5,969.84/x
  3. Step 3: Cross multiply
    9,950.18x = 13,728.29 × 5,969.84
  4. Step 4: Simplify right side
    9,950.18x = 81,955,596.28
  5. Step 5: Solve for x
    x = 81,955,596.28/9,950.18
  6. Step 6: Final answer
    x = 8,236.60

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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.