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Finding the Fourth Proportional to 9,049.62, 12,494.56 and 5,651.80

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Solution

The fourth proportional to 9,049.62, 12,494.56 and 5,651.80 is: 7,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.62 : 12,494.56 = 5,651.80 : x
  2. Step 2: Convert to fraction form
    9,049.62/12,494.56 = 5,651.80/x
  3. Step 3: Cross multiply
    9,049.62x = 12,494.56 × 5,651.80
  4. Step 4: Simplify right side
    9,049.62x = 70,616,754.21
  5. Step 5: Solve for x
    x = 70,616,754.21/9,049.62
  6. Step 6: Final answer
    x = 7,803.28

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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.