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Finding the Fourth Proportional to 6,561.64, 9,843.44 and 2,400.68

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Solution

The fourth proportional to 6,561.64, 9,843.44 and 2,400.68 is: 3,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.64 : 9,843.44 = 2,400.68 : x
  2. Step 2: Convert to fraction form
    6,561.64/9,843.44 = 2,400.68/x
  3. Step 3: Cross multiply
    6,561.64x = 9,843.44 × 2,400.68
  4. Step 4: Simplify right side
    6,561.64x = 23,630,949.54
  5. Step 5: Solve for x
    x = 23,630,949.54/6,561.64
  6. Step 6: Final answer
    x = 3,601.38

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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.