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Finding the Fourth Proportional to 6,472.24, 8,931.61 and 3,640.09

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Solution

The fourth proportional to 6,472.24, 8,931.61 and 3,640.09 is: 5,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.24 : 8,931.61 = 3,640.09 : x
  2. Step 2: Convert to fraction form
    6,472.24/8,931.61 = 3,640.09/x
  3. Step 3: Cross multiply
    6,472.24x = 8,931.61 × 3,640.09
  4. Step 4: Simplify right side
    6,472.24x = 32,511,864.24
  5. Step 5: Solve for x
    x = 32,511,864.24/6,472.24
  6. Step 6: Final answer
    x = 5,023.28

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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.