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Finding the Fourth Proportional to 9,269.88, 13,893.86 and 3,419.65

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Solution

The fourth proportional to 9,269.88, 13,893.86 and 3,419.65 is: 5,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.88 : 13,893.86 = 3,419.65 : x
  2. Step 2: Convert to fraction form
    9,269.88/13,893.86 = 3,419.65/x
  3. Step 3: Cross multiply
    9,269.88x = 13,893.86 × 3,419.65
  4. Step 4: Simplify right side
    9,269.88x = 47,512,164.27
  5. Step 5: Solve for x
    x = 47,512,164.27/9,269.88
  6. Step 6: Final answer
    x = 5,125.44

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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.