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Finding the Fourth Proportional to 9,414.32, 14,119.80 and 5,514.80

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Solution

The fourth proportional to 9,414.32, 14,119.80 and 5,514.80 is: 8,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.32 : 14,119.80 = 5,514.80 : x
  2. Step 2: Convert to fraction form
    9,414.32/14,119.80 = 5,514.80/x
  3. Step 3: Cross multiply
    9,414.32x = 14,119.80 × 5,514.80
  4. Step 4: Simplify right side
    9,414.32x = 77,867,873.04
  5. Step 5: Solve for x
    x = 77,867,873.04/9,414.32
  6. Step 6: Final answer
    x = 8,271.22

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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.