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Finding the Fourth Proportional to 7,073.49, 9,767.99 and 4,561.49

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Solution

The fourth proportional to 7,073.49, 9,767.99 and 4,561.49 is: 6,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.49 : 9,767.99 = 4,561.49 : x
  2. Step 2: Convert to fraction form
    7,073.49/9,767.99 = 4,561.49/x
  3. Step 3: Cross multiply
    7,073.49x = 9,767.99 × 4,561.49
  4. Step 4: Simplify right side
    7,073.49x = 44,556,517.06
  5. Step 5: Solve for x
    x = 44,556,517.06/7,073.49
  6. Step 6: Final answer
    x = 6,299.09

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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.