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Finding the Fourth Proportional to 6,114.19, 9,168.92 and 2,164.71

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Solution

The fourth proportional to 6,114.19, 9,168.92 and 2,164.71 is: 3,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.19 : 9,168.92 = 2,164.71 : x
  2. Step 2: Convert to fraction form
    6,114.19/9,168.92 = 2,164.71/x
  3. Step 3: Cross multiply
    6,114.19x = 9,168.92 × 2,164.71
  4. Step 4: Simplify right side
    6,114.19x = 19,848,058.22
  5. Step 5: Solve for x
    x = 19,848,058.22/6,114.19
  6. Step 6: Final answer
    x = 3,246.23

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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.