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Finding the Fourth Proportional to 9,259.38, 12,766.89 and 6,424.59

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Solution

The fourth proportional to 9,259.38, 12,766.89 and 6,424.59 is: 8,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.38 : 12,766.89 = 6,424.59 : x
  2. Step 2: Convert to fraction form
    9,259.38/12,766.89 = 6,424.59/x
  3. Step 3: Cross multiply
    9,259.38x = 12,766.89 × 6,424.59
  4. Step 4: Simplify right side
    9,259.38x = 82,022,033.83
  5. Step 5: Solve for x
    x = 82,022,033.83/9,259.38
  6. Step 6: Final answer
    x = 8,858.26

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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.