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Finding the Fourth Proportional to 9,049.48, 12,484.06 and 5,694.14

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Solution

The fourth proportional to 9,049.48, 12,484.06 and 5,694.14 is: 7,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.48 : 12,484.06 = 5,694.14 : x
  2. Step 2: Convert to fraction form
    9,049.48/12,484.06 = 5,694.14/x
  3. Step 3: Cross multiply
    9,049.48x = 12,484.06 × 5,694.14
  4. Step 4: Simplify right side
    9,049.48x = 71,086,002.38
  5. Step 5: Solve for x
    x = 71,086,002.38/9,049.48
  6. Step 6: Final answer
    x = 7,855.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.