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Finding the Fourth Proportional to 9,169, 13,753.77 and 2,243.50

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Solution

The fourth proportional to 9,169, 13,753.77 and 2,243.50 is: 3,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169 : 13,753.77 = 2,243.50 : x
  2. Step 2: Convert to fraction form
    9,169/13,753.77 = 2,243.50/x
  3. Step 3: Cross multiply
    9,169x = 13,753.77 × 2,243.50
  4. Step 4: Simplify right side
    9,169x = 30,856,583.00
  5. Step 5: Solve for x
    x = 30,856,583.00/9,169
  6. Step 6: Final answer
    x = 3,365.32

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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.