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Finding the Fourth Proportional to 9,412.72, 14,114.53 and 5,464.97

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Solution

The fourth proportional to 9,412.72, 14,114.53 and 5,464.97 is: 8,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.72 : 14,114.53 = 5,464.97 : x
  2. Step 2: Convert to fraction form
    9,412.72/14,114.53 = 5,464.97/x
  3. Step 3: Cross multiply
    9,412.72x = 14,114.53 × 5,464.97
  4. Step 4: Simplify right side
    9,412.72x = 77,135,448.72
  5. Step 5: Solve for x
    x = 77,135,448.72/9,412.72
  6. Step 6: Final answer
    x = 8,194.81

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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.