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Finding the Fourth Proportional to 9,974.67, 14,958.27 and 3,309.95

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Solution

The fourth proportional to 9,974.67, 14,958.27 and 3,309.95 is: 4,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.67 : 14,958.27 = 3,309.95 : x
  2. Step 2: Convert to fraction form
    9,974.67/14,958.27 = 3,309.95/x
  3. Step 3: Cross multiply
    9,974.67x = 14,958.27 × 3,309.95
  4. Step 4: Simplify right side
    9,974.67x = 49,511,051.00
  5. Step 5: Solve for x
    x = 49,511,051.00/9,974.67
  6. Step 6: Final answer
    x = 4,963.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.