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Finding the Fourth Proportional to 9,028, 13,544.34 and 2,872

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Solution

The fourth proportional to 9,028, 13,544.34 and 2,872 is: 4,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028 : 13,544.34 = 2,872 : x
  2. Step 2: Convert to fraction form
    9,028/13,544.34 = 2,872/x
  3. Step 3: Cross multiply
    9,028x = 13,544.34 × 2,872
  4. Step 4: Simplify right side
    9,028x = 38,899,344.48
  5. Step 5: Solve for x
    x = 38,899,344.48/9,028
  6. Step 6: Final answer
    x = 4,308.74

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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.