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Finding the Fourth Proportional to 9,553.69, 13,184.09 and 5,361.94

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Solution

The fourth proportional to 9,553.69, 13,184.09 and 5,361.94 is: 7,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.69 : 13,184.09 = 5,361.94 : x
  2. Step 2: Convert to fraction form
    9,553.69/13,184.09 = 5,361.94/x
  3. Step 3: Cross multiply
    9,553.69x = 13,184.09 × 5,361.94
  4. Step 4: Simplify right side
    9,553.69x = 70,692,259.87
  5. Step 5: Solve for x
    x = 70,692,259.87/9,553.69
  6. Step 6: Final answer
    x = 7,399.47

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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.