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Finding the Fourth Proportional to 6,750.59, 9,322.25 and 6,382.44

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Solution

The fourth proportional to 6,750.59, 9,322.25 and 6,382.44 is: 8,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.59 : 9,322.25 = 6,382.44 : x
  2. Step 2: Convert to fraction form
    6,750.59/9,322.25 = 6,382.44/x
  3. Step 3: Cross multiply
    6,750.59x = 9,322.25 × 6,382.44
  4. Step 4: Simplify right side
    6,750.59x = 59,498,669.38
  5. Step 5: Solve for x
    x = 59,498,669.38/6,750.59
  6. Step 6: Final answer
    x = 8,813.85

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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.