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Finding the Fourth Proportional to 9,964.64, 14,947.02 and 3,039.14

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Solution

The fourth proportional to 9,964.64, 14,947.02 and 3,039.14 is: 4,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.64 : 14,947.02 = 3,039.14 : x
  2. Step 2: Convert to fraction form
    9,964.64/14,947.02 = 3,039.14/x
  3. Step 3: Cross multiply
    9,964.64x = 14,947.02 × 3,039.14
  4. Step 4: Simplify right side
    9,964.64x = 45,426,086.36
  5. Step 5: Solve for x
    x = 45,426,086.36/9,964.64
  6. Step 6: Final answer
    x = 4,558.73

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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.