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Finding the Fourth Proportional to 9,694.73, 14,542.25 and 3,120.95

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Solution

The fourth proportional to 9,694.73, 14,542.25 and 3,120.95 is: 4,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.73 : 14,542.25 = 3,120.95 : x
  2. Step 2: Convert to fraction form
    9,694.73/14,542.25 = 3,120.95/x
  3. Step 3: Cross multiply
    9,694.73x = 14,542.25 × 3,120.95
  4. Step 4: Simplify right side
    9,694.73x = 45,385,546.82
  5. Step 5: Solve for x
    x = 45,385,546.82/9,694.73
  6. Step 6: Final answer
    x = 4,681.47

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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.