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Finding the Fourth Proportional to 9,107.88, 13,655.82 and 3,561.84

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Solution

The fourth proportional to 9,107.88, 13,655.82 and 3,561.84 is: 5,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.88 : 13,655.82 = 3,561.84 : x
  2. Step 2: Convert to fraction form
    9,107.88/13,655.82 = 3,561.84/x
  3. Step 3: Cross multiply
    9,107.88x = 13,655.82 × 3,561.84
  4. Step 4: Simplify right side
    9,107.88x = 48,639,845.91
  5. Step 5: Solve for x
    x = 48,639,845.91/9,107.88
  6. Step 6: Final answer
    x = 5,340.41

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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.