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Finding the Fourth Proportional to 9,302.32, 13,954.28 and 2,638.84

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Solution

The fourth proportional to 9,302.32, 13,954.28 and 2,638.84 is: 3,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.32 : 13,954.28 = 2,638.84 : x
  2. Step 2: Convert to fraction form
    9,302.32/13,954.28 = 2,638.84/x
  3. Step 3: Cross multiply
    9,302.32x = 13,954.28 × 2,638.84
  4. Step 4: Simplify right side
    9,302.32x = 36,823,112.24
  5. Step 5: Solve for x
    x = 36,823,112.24/9,302.32
  6. Step 6: Final answer
    x = 3,958.49

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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.