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Finding the Fourth Proportional to 9,297.94, 13,949.11 and 3,057.97

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Solution

The fourth proportional to 9,297.94, 13,949.11 and 3,057.97 is: 4,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.94 : 13,949.11 = 3,057.97 : x
  2. Step 2: Convert to fraction form
    9,297.94/13,949.11 = 3,057.97/x
  3. Step 3: Cross multiply
    9,297.94x = 13,949.11 × 3,057.97
  4. Step 4: Simplify right side
    9,297.94x = 42,655,987.13
  5. Step 5: Solve for x
    x = 42,655,987.13/9,297.94
  6. Step 6: Final answer
    x = 4,587.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.