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Finding the Fourth Proportional to 9,269, 13,904.94 and 3,114.44

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Solution

The fourth proportional to 9,269, 13,904.94 and 3,114.44 is: 4,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269 : 13,904.94 = 3,114.44 : x
  2. Step 2: Convert to fraction form
    9,269/13,904.94 = 3,114.44/x
  3. Step 3: Cross multiply
    9,269x = 13,904.94 × 3,114.44
  4. Step 4: Simplify right side
    9,269x = 43,306,101.33
  5. Step 5: Solve for x
    x = 43,306,101.33/9,269
  6. Step 6: Final answer
    x = 4,672.14

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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.