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Finding the Fourth Proportional to 9,161.37, 12,644.10 and 5,384.75

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Solution

The fourth proportional to 9,161.37, 12,644.10 and 5,384.75 is: 7,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.37 : 12,644.10 = 5,384.75 : x
  2. Step 2: Convert to fraction form
    9,161.37/12,644.10 = 5,384.75/x
  3. Step 3: Cross multiply
    9,161.37x = 12,644.10 × 5,384.75
  4. Step 4: Simplify right side
    9,161.37x = 68,085,254.25
  5. Step 5: Solve for x
    x = 68,085,254.25/9,161.37
  6. Step 6: Final answer
    x = 7,431.78

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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.