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Finding the Fourth Proportional to 7,020.78, 9,689.34 and 5,249.34

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Solution

The fourth proportional to 7,020.78, 9,689.34 and 5,249.34 is: 7,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.78 : 9,689.34 = 5,249.34 : x
  2. Step 2: Convert to fraction form
    7,020.78/9,689.34 = 5,249.34/x
  3. Step 3: Cross multiply
    7,020.78x = 9,689.34 × 5,249.34
  4. Step 4: Simplify right side
    7,020.78x = 50,862,640.04
  5. Step 5: Solve for x
    x = 50,862,640.04/7,020.78
  6. Step 6: Final answer
    x = 7,244.59

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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.