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Finding the Fourth Proportional to 9,100.36, 13,651.98 and 3,256.84

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Solution

The fourth proportional to 9,100.36, 13,651.98 and 3,256.84 is: 4,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.36 : 13,651.98 = 3,256.84 : x
  2. Step 2: Convert to fraction form
    9,100.36/13,651.98 = 3,256.84/x
  3. Step 3: Cross multiply
    9,100.36x = 13,651.98 × 3,256.84
  4. Step 4: Simplify right side
    9,100.36x = 44,462,314.54
  5. Step 5: Solve for x
    x = 44,462,314.54/9,100.36
  6. Step 6: Final answer
    x = 4,885.78

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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.