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Finding the Fourth Proportional to 9,964.34, 14,947.53 and 3,390.99

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Solution

The fourth proportional to 9,964.34, 14,947.53 and 3,390.99 is: 5,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.34 : 14,947.53 = 3,390.99 : x
  2. Step 2: Convert to fraction form
    9,964.34/14,947.53 = 3,390.99/x
  3. Step 3: Cross multiply
    9,964.34x = 14,947.53 × 3,390.99
  4. Step 4: Simplify right side
    9,964.34x = 50,686,912.04
  5. Step 5: Solve for x
    x = 50,686,912.04/9,964.34
  6. Step 6: Final answer
    x = 5,086.83

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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.