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Finding the Fourth Proportional to 9,297.02, 12,826.17 and 5,938.97

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Solution

The fourth proportional to 9,297.02, 12,826.17 and 5,938.97 is: 8,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.02 : 12,826.17 = 5,938.97 : x
  2. Step 2: Convert to fraction form
    9,297.02/12,826.17 = 5,938.97/x
  3. Step 3: Cross multiply
    9,297.02x = 12,826.17 × 5,938.97
  4. Step 4: Simplify right side
    9,297.02x = 76,174,174.71
  5. Step 5: Solve for x
    x = 76,174,174.71/9,297.02
  6. Step 6: Final answer
    x = 8,193.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.