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Finding the Fourth Proportional to 9,144.44, 12,619.26 and 5,165.48

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Solution

The fourth proportional to 9,144.44, 12,619.26 and 5,165.48 is: 7,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.44 : 12,619.26 = 5,165.48 : x
  2. Step 2: Convert to fraction form
    9,144.44/12,619.26 = 5,165.48/x
  3. Step 3: Cross multiply
    9,144.44x = 12,619.26 × 5,165.48
  4. Step 4: Simplify right side
    9,144.44x = 65,184,535.14
  5. Step 5: Solve for x
    x = 65,184,535.14/9,144.44
  6. Step 6: Final answer
    x = 7,128.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.