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Finding the Fourth Proportional to 9,584.88, 14,399.10 and 8,272.68

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Solution

The fourth proportional to 9,584.88, 14,399.10 and 8,272.68 is: 12,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.88 : 14,399.10 = 8,272.68 : x
  2. Step 2: Convert to fraction form
    9,584.88/14,399.10 = 8,272.68/x
  3. Step 3: Cross multiply
    9,584.88x = 14,399.10 × 8,272.68
  4. Step 4: Simplify right side
    9,584.88x = 119,119,146.59
  5. Step 5: Solve for x
    x = 119,119,146.59/9,584.88
  6. Step 6: Final answer
    x = 12,427.82

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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.