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Finding the Fourth Proportional to 6,469.30, 8,927.49 and 3,817.54

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Solution

The fourth proportional to 6,469.30, 8,927.49 and 3,817.54 is: 5,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.30 : 8,927.49 = 3,817.54 : x
  2. Step 2: Convert to fraction form
    6,469.30/8,927.49 = 3,817.54/x
  3. Step 3: Cross multiply
    6,469.30x = 8,927.49 × 3,817.54
  4. Step 4: Simplify right side
    6,469.30x = 34,081,050.17
  5. Step 5: Solve for x
    x = 34,081,050.17/6,469.30
  6. Step 6: Final answer
    x = 5,268.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.