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Finding the Fourth Proportional to 6,546.44, 9,036.72 and 4,451.84

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Solution

The fourth proportional to 6,546.44, 9,036.72 and 4,451.84 is: 6,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.44 : 9,036.72 = 4,451.84 : x
  2. Step 2: Convert to fraction form
    6,546.44/9,036.72 = 4,451.84/x
  3. Step 3: Cross multiply
    6,546.44x = 9,036.72 × 4,451.84
  4. Step 4: Simplify right side
    6,546.44x = 40,230,031.56
  5. Step 5: Solve for x
    x = 40,230,031.56/6,546.44
  6. Step 6: Final answer
    x = 6,145.33

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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.