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Finding the Fourth Proportional to 6,591.96, 9,884.75 and 2,433.92

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Solution

The fourth proportional to 6,591.96, 9,884.75 and 2,433.92 is: 3,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.96 : 9,884.75 = 2,433.92 : x
  2. Step 2: Convert to fraction form
    6,591.96/9,884.75 = 2,433.92/x
  3. Step 3: Cross multiply
    6,591.96x = 9,884.75 × 2,433.92
  4. Step 4: Simplify right side
    6,591.96x = 24,058,629.13
  5. Step 5: Solve for x
    x = 24,058,629.13/6,591.96
  6. Step 6: Final answer
    x = 3,649.69

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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.