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Finding the Fourth Proportional to 9,268.70, 13,903.10 and 2,343.20

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Solution

The fourth proportional to 9,268.70, 13,903.10 and 2,343.20 is: 3,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.70 : 13,903.10 = 2,343.20 : x
  2. Step 2: Convert to fraction form
    9,268.70/13,903.10 = 2,343.20/x
  3. Step 3: Cross multiply
    9,268.70x = 13,903.10 × 2,343.20
  4. Step 4: Simplify right side
    9,268.70x = 32,577,743.92
  5. Step 5: Solve for x
    x = 32,577,743.92/9,268.70
  6. Step 6: Final answer
    x = 3,514.81

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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.