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Finding the Fourth Proportional to 9,149.88, 13,722.72 and 5,453.16

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Solution

The fourth proportional to 9,149.88, 13,722.72 and 5,453.16 is: 8,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.88 : 13,722.72 = 5,453.16 : x
  2. Step 2: Convert to fraction form
    9,149.88/13,722.72 = 5,453.16/x
  3. Step 3: Cross multiply
    9,149.88x = 13,722.72 × 5,453.16
  4. Step 4: Simplify right side
    9,149.88x = 74,832,187.80
  5. Step 5: Solve for x
    x = 74,832,187.80/9,149.88
  6. Step 6: Final answer
    x = 8,178.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.