Home / 9,214.14-13,821.42-6,114

Finding the Fourth Proportional to 9,214.14, 13,821.42 and 6,114

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Solution

The fourth proportional to 9,214.14, 13,821.42 and 6,114 is: 9,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.14 : 13,821.42 = 6,114 : x
  2. Step 2: Convert to fraction form
    9,214.14/13,821.42 = 6,114/x
  3. Step 3: Cross multiply
    9,214.14x = 13,821.42 × 6,114
  4. Step 4: Simplify right side
    9,214.14x = 84,504,161.88
  5. Step 5: Solve for x
    x = 84,504,161.88/9,214.14
  6. Step 6: Final answer
    x = 9,171.14

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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.