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Finding the Fourth Proportional to 9,682.35, 13,361.81 and 5,434.35

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Solution

The fourth proportional to 9,682.35, 13,361.81 and 5,434.35 is: 7,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.35 : 13,361.81 = 5,434.35 : x
  2. Step 2: Convert to fraction form
    9,682.35/13,361.81 = 5,434.35/x
  3. Step 3: Cross multiply
    9,682.35x = 13,361.81 × 5,434.35
  4. Step 4: Simplify right side
    9,682.35x = 72,612,725.00
  5. Step 5: Solve for x
    x = 72,612,725.00/9,682.35
  6. Step 6: Final answer
    x = 7,499.49

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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.