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Finding the Fourth Proportional to 6,467.49, 9,702.27 and 2,769.75

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Solution

The fourth proportional to 6,467.49, 9,702.27 and 2,769.75 is: 4,155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.49 : 9,702.27 = 2,769.75 : x
  2. Step 2: Convert to fraction form
    6,467.49/9,702.27 = 2,769.75/x
  3. Step 3: Cross multiply
    6,467.49x = 9,702.27 × 2,769.75
  4. Step 4: Simplify right side
    6,467.49x = 26,872,862.33
  5. Step 5: Solve for x
    x = 26,872,862.33/6,467.49
  6. Step 6: Final answer
    x = 4,155.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.