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Finding the Fourth Proportional to 9,682.16, 13,361.64 and 5,491.04

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Solution

The fourth proportional to 9,682.16, 13,361.64 and 5,491.04 is: 7,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.16 : 13,361.64 = 5,491.04 : x
  2. Step 2: Convert to fraction form
    9,682.16/13,361.64 = 5,491.04/x
  3. Step 3: Cross multiply
    9,682.16x = 13,361.64 × 5,491.04
  4. Step 4: Simplify right side
    9,682.16x = 73,369,299.71
  5. Step 5: Solve for x
    x = 73,369,299.71/9,682.16
  6. Step 6: Final answer
    x = 7,577.78

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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.