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Finding the Fourth Proportional to 9,891.32, 13,645.66 and 5,910.44

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Solution

The fourth proportional to 9,891.32, 13,645.66 and 5,910.44 is: 8,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.32 : 13,645.66 = 5,910.44 : x
  2. Step 2: Convert to fraction form
    9,891.32/13,645.66 = 5,910.44/x
  3. Step 3: Cross multiply
    9,891.32x = 13,645.66 × 5,910.44
  4. Step 4: Simplify right side
    9,891.32x = 80,651,854.69
  5. Step 5: Solve for x
    x = 80,651,854.69/9,891.32
  6. Step 6: Final answer
    x = 8,153.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.