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Finding the Fourth Proportional to 6,472.11, 8,928.96 and 3,638.82

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Solution

The fourth proportional to 6,472.11, 8,928.96 and 3,638.82 is: 5,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.11 : 8,928.96 = 3,638.82 : x
  2. Step 2: Convert to fraction form
    6,472.11/8,928.96 = 3,638.82/x
  3. Step 3: Cross multiply
    6,472.11x = 8,928.96 × 3,638.82
  4. Step 4: Simplify right side
    6,472.11x = 32,490,878.23
  5. Step 5: Solve for x
    x = 32,490,878.23/6,472.11
  6. Step 6: Final answer
    x = 5,020.14

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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.