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Finding the Fourth Proportional to 6,555.62, 9,049.86 and 4,199.15

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Solution

The fourth proportional to 6,555.62, 9,049.86 and 4,199.15 is: 5,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.62 : 9,049.86 = 4,199.15 : x
  2. Step 2: Convert to fraction form
    6,555.62/9,049.86 = 4,199.15/x
  3. Step 3: Cross multiply
    6,555.62x = 9,049.86 × 4,199.15
  4. Step 4: Simplify right side
    6,555.62x = 38,001,674.37
  5. Step 5: Solve for x
    x = 38,001,674.37/6,555.62
  6. Step 6: Final answer
    x = 5,796.81

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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.