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Finding the Fourth Proportional to 9,008.82, 13,514.00 and 2,434.86

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Solution

The fourth proportional to 9,008.82, 13,514.00 and 2,434.86 is: 3,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,008.82 : 13,514.00 = 2,434.86 : x
  2. Step 2: Convert to fraction form
    9,008.82/13,514.00 = 2,434.86/x
  3. Step 3: Cross multiply
    9,008.82x = 13,514.00 × 2,434.86
  4. Step 4: Simplify right side
    9,008.82x = 32,904,685.87
  5. Step 5: Solve for x
    x = 32,904,685.87/9,008.82
  6. Step 6: Final answer
    x = 3,652.50

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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.