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Finding the Fourth Proportional to 7,049.13, 9,727.77 and 4,064.94

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Solution

The fourth proportional to 7,049.13, 9,727.77 and 4,064.94 is: 5,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.13 : 9,727.77 = 4,064.94 : x
  2. Step 2: Convert to fraction form
    7,049.13/9,727.77 = 4,064.94/x
  3. Step 3: Cross multiply
    7,049.13x = 9,727.77 × 4,064.94
  4. Step 4: Simplify right side
    7,049.13x = 39,542,801.38
  5. Step 5: Solve for x
    x = 39,542,801.38/7,049.13
  6. Step 6: Final answer
    x = 5,609.60

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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.