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Finding the Fourth Proportional to 9,074.25, 12,524.64 and 5,540.46

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Solution

The fourth proportional to 9,074.25, 12,524.64 and 5,540.46 is: 7,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.25 : 12,524.64 = 5,540.46 : x
  2. Step 2: Convert to fraction form
    9,074.25/12,524.64 = 5,540.46/x
  3. Step 3: Cross multiply
    9,074.25x = 12,524.64 × 5,540.46
  4. Step 4: Simplify right side
    9,074.25x = 69,392,266.93
  5. Step 5: Solve for x
    x = 69,392,266.93/9,074.25
  6. Step 6: Final answer
    x = 7,647.16

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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.