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Finding the Fourth Proportional to 6,336.86, 9,505.38 and 2,176.70

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Solution

The fourth proportional to 6,336.86, 9,505.38 and 2,176.70 is: 3,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.86 : 9,505.38 = 2,176.70 : x
  2. Step 2: Convert to fraction form
    6,336.86/9,505.38 = 2,176.70/x
  3. Step 3: Cross multiply
    6,336.86x = 9,505.38 × 2,176.70
  4. Step 4: Simplify right side
    6,336.86x = 20,690,360.65
  5. Step 5: Solve for x
    x = 20,690,360.65/6,336.86
  6. Step 6: Final answer
    x = 3,265.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.