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Finding the Fourth Proportional to 7,201.20, 9,939.60 and 4,549.44

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Solution

The fourth proportional to 7,201.20, 9,939.60 and 4,549.44 is: 6,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.20 : 9,939.60 = 4,549.44 : x
  2. Step 2: Convert to fraction form
    7,201.20/9,939.60 = 4,549.44/x
  3. Step 3: Cross multiply
    7,201.20x = 9,939.60 × 4,549.44
  4. Step 4: Simplify right side
    7,201.20x = 45,219,613.82
  5. Step 5: Solve for x
    x = 45,219,613.82/7,201.20
  6. Step 6: Final answer
    x = 6,279.46

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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.