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Finding the Fourth Proportional to 9,591.98, 14,367.14 and 4,651.24

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Solution

The fourth proportional to 9,591.98, 14,367.14 and 4,651.24 is: 6,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.98 : 14,367.14 = 4,651.24 : x
  2. Step 2: Convert to fraction form
    9,591.98/14,367.14 = 4,651.24/x
  3. Step 3: Cross multiply
    9,591.98x = 14,367.14 × 4,651.24
  4. Step 4: Simplify right side
    9,591.98x = 66,825,016.25
  5. Step 5: Solve for x
    x = 66,825,016.25/9,591.98
  6. Step 6: Final answer
    x = 6,966.76

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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.