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Finding the Fourth Proportional to 9,924.66, 14,865.12 and 5,531.22

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Solution

The fourth proportional to 9,924.66, 14,865.12 and 5,531.22 is: 8,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.66 : 14,865.12 = 5,531.22 : x
  2. Step 2: Convert to fraction form
    9,924.66/14,865.12 = 5,531.22/x
  3. Step 3: Cross multiply
    9,924.66x = 14,865.12 × 5,531.22
  4. Step 4: Simplify right side
    9,924.66x = 82,222,249.05
  5. Step 5: Solve for x
    x = 82,222,249.05/9,924.66
  6. Step 6: Final answer
    x = 8,284.64

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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.