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Finding the Fourth Proportional to 9,553.38, 13,184.90 and 5,361.63

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Solution

The fourth proportional to 9,553.38, 13,184.90 and 5,361.63 is: 7,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.38 : 13,184.90 = 5,361.63 : x
  2. Step 2: Convert to fraction form
    9,553.38/13,184.90 = 5,361.63/x
  3. Step 3: Cross multiply
    9,553.38x = 13,184.90 × 5,361.63
  4. Step 4: Simplify right side
    9,553.38x = 70,692,555.39
  5. Step 5: Solve for x
    x = 70,692,555.39/9,553.38
  6. Step 6: Final answer
    x = 7,399.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.