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Finding the Fourth Proportional to 9,508.92, 14,264.34 and 3,268.92

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Solution

The fourth proportional to 9,508.92, 14,264.34 and 3,268.92 is: 4,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.92 : 14,264.34 = 3,268.92 : x
  2. Step 2: Convert to fraction form
    9,508.92/14,264.34 = 3,268.92/x
  3. Step 3: Cross multiply
    9,508.92x = 14,264.34 × 3,268.92
  4. Step 4: Simplify right side
    9,508.92x = 46,628,986.31
  5. Step 5: Solve for x
    x = 46,628,986.31/9,508.92
  6. Step 6: Final answer
    x = 4,903.71

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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.