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Finding the Fourth Proportional to 9,149.49, 12,621.64 and 5,786.64

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Solution

The fourth proportional to 9,149.49, 12,621.64 and 5,786.64 is: 7,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.49 : 12,621.64 = 5,786.64 : x
  2. Step 2: Convert to fraction form
    9,149.49/12,621.64 = 5,786.64/x
  3. Step 3: Cross multiply
    9,149.49x = 12,621.64 × 5,786.64
  4. Step 4: Simplify right side
    9,149.49x = 73,036,886.89
  5. Step 5: Solve for x
    x = 73,036,886.89/9,149.49
  6. Step 6: Final answer
    x = 7,982.62

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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.