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Finding the Fourth Proportional to 6,823.08, 9,375.03 and 5,423.40

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Solution

The fourth proportional to 6,823.08, 9,375.03 and 5,423.40 is: 7,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.08 : 9,375.03 = 5,423.40 : x
  2. Step 2: Convert to fraction form
    6,823.08/9,375.03 = 5,423.40/x
  3. Step 3: Cross multiply
    6,823.08x = 9,375.03 × 5,423.40
  4. Step 4: Simplify right side
    6,823.08x = 50,844,537.70
  5. Step 5: Solve for x
    x = 50,844,537.70/6,823.08
  6. Step 6: Final answer
    x = 7,451.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.