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Finding the Fourth Proportional to 6,555.48, 9,046.64 and 3,722.64

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Solution

The fourth proportional to 6,555.48, 9,046.64 and 3,722.64 is: 5,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.48 : 9,046.64 = 3,722.64 : x
  2. Step 2: Convert to fraction form
    6,555.48/9,046.64 = 3,722.64/x
  3. Step 3: Cross multiply
    6,555.48x = 9,046.64 × 3,722.64
  4. Step 4: Simplify right side
    6,555.48x = 33,677,383.93
  5. Step 5: Solve for x
    x = 33,677,383.93/6,555.48
  6. Step 6: Final answer
    x = 5,137.29

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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.