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Finding the Fourth Proportional to 6,471.17, 8,930.01 and 3,638.67

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Solution

The fourth proportional to 6,471.17, 8,930.01 and 3,638.67 is: 5,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.17 : 8,930.01 = 3,638.67 : x
  2. Step 2: Convert to fraction form
    6,471.17/8,930.01 = 3,638.67/x
  3. Step 3: Cross multiply
    6,471.17x = 8,930.01 × 3,638.67
  4. Step 4: Simplify right side
    6,471.17x = 32,493,359.49
  5. Step 5: Solve for x
    x = 32,493,359.49/6,471.17
  6. Step 6: Final answer
    x = 5,021.25

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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.