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Finding the Fourth Proportional to 6,433.49, 9,628.32 and 5,394.67

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Solution

The fourth proportional to 6,433.49, 9,628.32 and 5,394.67 is: 8,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.49 : 9,628.32 = 5,394.67 : x
  2. Step 2: Convert to fraction form
    6,433.49/9,628.32 = 5,394.67/x
  3. Step 3: Cross multiply
    6,433.49x = 9,628.32 × 5,394.67
  4. Step 4: Simplify right side
    6,433.49x = 51,941,560.91
  5. Step 5: Solve for x
    x = 51,941,560.91/6,433.49
  6. Step 6: Final answer
    x = 8,073.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.