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Finding the Fourth Proportional to 6,554.88, 9,046.66 and 3,722.96

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Solution

The fourth proportional to 6,554.88, 9,046.66 and 3,722.96 is: 5,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.88 : 9,046.66 = 3,722.96 : x
  2. Step 2: Convert to fraction form
    6,554.88/9,046.66 = 3,722.96/x
  3. Step 3: Cross multiply
    6,554.88x = 9,046.66 × 3,722.96
  4. Step 4: Simplify right side
    6,554.88x = 33,680,353.31
  5. Step 5: Solve for x
    x = 33,680,353.31/6,554.88
  6. Step 6: Final answer
    x = 5,138.21

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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.