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Finding the Fourth Proportional to 9,424.56, 14,120.22 and 5,719.28

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Solution

The fourth proportional to 9,424.56, 14,120.22 and 5,719.28 is: 8,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.56 : 14,120.22 = 5,719.28 : x
  2. Step 2: Convert to fraction form
    9,424.56/14,120.22 = 5,719.28/x
  3. Step 3: Cross multiply
    9,424.56x = 14,120.22 × 5,719.28
  4. Step 4: Simplify right side
    9,424.56x = 80,757,421.24
  5. Step 5: Solve for x
    x = 80,757,421.24/9,424.56
  6. Step 6: Final answer
    x = 8,568.83

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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.