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Finding the Fourth Proportional to 9,416.44, 12,993.78 and 5,224.42

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Solution

The fourth proportional to 9,416.44, 12,993.78 and 5,224.42 is: 7,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.44 : 12,993.78 = 5,224.42 : x
  2. Step 2: Convert to fraction form
    9,416.44/12,993.78 = 5,224.42/x
  3. Step 3: Cross multiply
    9,416.44x = 12,993.78 × 5,224.42
  4. Step 4: Simplify right side
    9,416.44x = 67,884,964.11
  5. Step 5: Solve for x
    x = 67,884,964.11/9,416.44
  6. Step 6: Final answer
    x = 7,209.20

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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.