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Finding the Fourth Proportional to 6,495.57, 9,744.38 and 2,798.86

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Solution

The fourth proportional to 6,495.57, 9,744.38 and 2,798.86 is: 4,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.57 : 9,744.38 = 2,798.86 : x
  2. Step 2: Convert to fraction form
    6,495.57/9,744.38 = 2,798.86/x
  3. Step 3: Cross multiply
    6,495.57x = 9,744.38 × 2,798.86
  4. Step 4: Simplify right side
    6,495.57x = 27,273,138.04
  5. Step 5: Solve for x
    x = 27,273,138.04/6,495.57
  6. Step 6: Final answer
    x = 4,198.73

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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.