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Finding the Fourth Proportional to 6,499.92, 9,751.44 and 2,117.37

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Solution

The fourth proportional to 6,499.92, 9,751.44 and 2,117.37 is: 3,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.92 : 9,751.44 = 2,117.37 : x
  2. Step 2: Convert to fraction form
    6,499.92/9,751.44 = 2,117.37/x
  3. Step 3: Cross multiply
    6,499.92x = 9,751.44 × 2,117.37
  4. Step 4: Simplify right side
    6,499.92x = 20,647,406.51
  5. Step 5: Solve for x
    x = 20,647,406.51/6,499.92
  6. Step 6: Final answer
    x = 3,176.56

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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.