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Finding the Fourth Proportional to 6,891.20, 9,499.20 and 4,233.60

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Solution

The fourth proportional to 6,891.20, 9,499.20 and 4,233.60 is: 5,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.20 : 9,499.20 = 4,233.60 : x
  2. Step 2: Convert to fraction form
    6,891.20/9,499.20 = 4,233.60/x
  3. Step 3: Cross multiply
    6,891.20x = 9,499.20 × 4,233.60
  4. Step 4: Simplify right side
    6,891.20x = 40,215,813.12
  5. Step 5: Solve for x
    x = 40,215,813.12/6,891.20
  6. Step 6: Final answer
    x = 5,835.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.