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Finding the Fourth Proportional to 9,517.58, 14,249.03 and 7,166.55

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Solution

The fourth proportional to 9,517.58, 14,249.03 and 7,166.55 is: 10,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.58 : 14,249.03 = 7,166.55 : x
  2. Step 2: Convert to fraction form
    9,517.58/14,249.03 = 7,166.55/x
  3. Step 3: Cross multiply
    9,517.58x = 14,249.03 × 7,166.55
  4. Step 4: Simplify right side
    9,517.58x = 102,116,385.95
  5. Step 5: Solve for x
    x = 102,116,385.95/9,517.58
  6. Step 6: Final answer
    x = 10,729.24

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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.