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Finding the Fourth Proportional to 9,176.97, 13,764.28 and 2,936.46

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Solution

The fourth proportional to 9,176.97, 13,764.28 and 2,936.46 is: 4,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.97 : 13,764.28 = 2,936.46 : x
  2. Step 2: Convert to fraction form
    9,176.97/13,764.28 = 2,936.46/x
  3. Step 3: Cross multiply
    9,176.97x = 13,764.28 × 2,936.46
  4. Step 4: Simplify right side
    9,176.97x = 40,418,255.81
  5. Step 5: Solve for x
    x = 40,418,255.81/9,176.97
  6. Step 6: Final answer
    x = 4,404.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.