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Finding the Fourth Proportional to 6,624.89, 9,142.49 and 3,640.91

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Solution

The fourth proportional to 6,624.89, 9,142.49 and 3,640.91 is: 5,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.89 : 9,142.49 = 3,640.91 : x
  2. Step 2: Convert to fraction form
    6,624.89/9,142.49 = 3,640.91/x
  3. Step 3: Cross multiply
    6,624.89x = 9,142.49 × 3,640.91
  4. Step 4: Simplify right side
    6,624.89x = 33,286,919.35
  5. Step 5: Solve for x
    x = 33,286,919.35/6,624.89
  6. Step 6: Final answer
    x = 5,024.53

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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.