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Finding the Fourth Proportional to 6,186.92, 8,535.85 and 3,532.42

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Solution

The fourth proportional to 6,186.92, 8,535.85 and 3,532.42 is: 4,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.92 : 8,535.85 = 3,532.42 : x
  2. Step 2: Convert to fraction form
    6,186.92/8,535.85 = 3,532.42/x
  3. Step 3: Cross multiply
    6,186.92x = 8,535.85 × 3,532.42
  4. Step 4: Simplify right side
    6,186.92x = 30,152,207.26
  5. Step 5: Solve for x
    x = 30,152,207.26/6,186.92
  6. Step 6: Final answer
    x = 4,873.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.