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Finding the Fourth Proportional to 11,964.71, 17,947.51 and 6,114.49

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Solution

The fourth proportional to 11,964.71, 17,947.51 and 6,114.49 is: 9,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.71 : 17,947.51 = 6,114.49 : x
  2. Step 2: Convert to fraction form
    11,964.71/17,947.51 = 6,114.49/x
  3. Step 3: Cross multiply
    11,964.71x = 17,947.51 × 6,114.49
  4. Step 4: Simplify right side
    11,964.71x = 109,739,810.26
  5. Step 5: Solve for x
    x = 109,739,810.26/11,964.71
  6. Step 6: Final answer
    x = 9,171.96

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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.