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Finding the Fourth Proportional to 9,284.43, 13,910.43 and 7,734.39

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Solution

The fourth proportional to 9,284.43, 13,910.43 and 7,734.39 is: 11,588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.43 : 13,910.43 = 7,734.39 : x
  2. Step 2: Convert to fraction form
    9,284.43/13,910.43 = 7,734.39/x
  3. Step 3: Cross multiply
    9,284.43x = 13,910.43 × 7,734.39
  4. Step 4: Simplify right side
    9,284.43x = 107,588,690.69
  5. Step 5: Solve for x
    x = 107,588,690.69/9,284.43
  6. Step 6: Final answer
    x = 11,588.08

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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.