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Finding the Fourth Proportional to 9,144.81, 12,619.98 and 5,112.11

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Solution

The fourth proportional to 9,144.81, 12,619.98 and 5,112.11 is: 7,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.81 : 12,619.98 = 5,112.11 : x
  2. Step 2: Convert to fraction form
    9,144.81/12,619.98 = 5,112.11/x
  3. Step 3: Cross multiply
    9,144.81x = 12,619.98 × 5,112.11
  4. Step 4: Simplify right side
    9,144.81x = 64,514,662.86
  5. Step 5: Solve for x
    x = 64,514,662.86/9,144.81
  6. Step 6: Final answer
    x = 7,054.78

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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.