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Finding the Fourth Proportional to 9,097, 13,645.50 and 3,628.84

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Solution

The fourth proportional to 9,097, 13,645.50 and 3,628.84 is: 5,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097 : 13,645.50 = 3,628.84 : x
  2. Step 2: Convert to fraction form
    9,097/13,645.50 = 3,628.84/x
  3. Step 3: Cross multiply
    9,097x = 13,645.50 × 3,628.84
  4. Step 4: Simplify right side
    9,097x = 49,517,336.22
  5. Step 5: Solve for x
    x = 49,517,336.22/9,097
  6. Step 6: Final answer
    x = 5,443.26

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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.