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Finding the Fourth Proportional to 9,009, 13,512.48 and 2,434.80

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Solution

The fourth proportional to 9,009, 13,512.48 and 2,434.80 is: 3,651.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009 : 13,512.48 = 2,434.80 : x
  2. Step 2: Convert to fraction form
    9,009/13,512.48 = 2,434.80/x
  3. Step 3: Cross multiply
    9,009x = 13,512.48 × 2,434.80
  4. Step 4: Simplify right side
    9,009x = 32,900,186.30
  5. Step 5: Solve for x
    x = 32,900,186.30/9,009
  6. Step 6: Final answer
    x = 3,651.92

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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.