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Finding the Fourth Proportional to 9,097, 13,647.66 and 2,941

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Solution

The fourth proportional to 9,097, 13,647.66 and 2,941 is: 4,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097 : 13,647.66 = 2,941 : x
  2. Step 2: Convert to fraction form
    9,097/13,647.66 = 2,941/x
  3. Step 3: Cross multiply
    9,097x = 13,647.66 × 2,941
  4. Step 4: Simplify right side
    9,097x = 40,137,768.06
  5. Step 5: Solve for x
    x = 40,137,768.06/9,097
  6. Step 6: Final answer
    x = 4,412.20

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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.