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Finding the Fourth Proportional to 9,761.22, 14,645.94 and 5,082.44

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Solution

The fourth proportional to 9,761.22, 14,645.94 and 5,082.44 is: 7,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.22 : 14,645.94 = 5,082.44 : x
  2. Step 2: Convert to fraction form
    9,761.22/14,645.94 = 5,082.44/x
  3. Step 3: Cross multiply
    9,761.22x = 14,645.94 × 5,082.44
  4. Step 4: Simplify right side
    9,761.22x = 74,437,038.06
  5. Step 5: Solve for x
    x = 74,437,038.06/9,761.22
  6. Step 6: Final answer
    x = 7,625.79

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Why These Related Problems?

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