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Finding the Fourth Proportional to 9,682.94, 13,361.67 and 5,376.17

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Solution

The fourth proportional to 9,682.94, 13,361.67 and 5,376.17 is: 7,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.94 : 13,361.67 = 5,376.17 : x
  2. Step 2: Convert to fraction form
    9,682.94/13,361.67 = 5,376.17/x
  3. Step 3: Cross multiply
    9,682.94x = 13,361.67 × 5,376.17
  4. Step 4: Simplify right side
    9,682.94x = 71,834,642.81
  5. Step 5: Solve for x
    x = 71,834,642.81/9,682.94
  6. Step 6: Final answer
    x = 7,418.68

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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.