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Finding the Fourth Proportional to 6,810.72, 9,400.38 and 4,017.84

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Solution

The fourth proportional to 6,810.72, 9,400.38 and 4,017.84 is: 5,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.72 : 9,400.38 = 4,017.84 : x
  2. Step 2: Convert to fraction form
    6,810.72/9,400.38 = 4,017.84/x
  3. Step 3: Cross multiply
    6,810.72x = 9,400.38 × 4,017.84
  4. Step 4: Simplify right side
    6,810.72x = 37,769,222.78
  5. Step 5: Solve for x
    x = 37,769,222.78/6,810.72
  6. Step 6: Final answer
    x = 5,545.56

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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.