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Finding the Fourth Proportional to 8,960.31, 13,442.67 and 3,116.97

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Solution

The fourth proportional to 8,960.31, 13,442.67 and 3,116.97 is: 4,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,960.31 : 13,442.67 = 3,116.97 : x
  2. Step 2: Convert to fraction form
    8,960.31/13,442.67 = 3,116.97/x
  3. Step 3: Cross multiply
    8,960.31x = 13,442.67 × 3,116.97
  4. Step 4: Simplify right side
    8,960.31x = 41,900,399.11
  5. Step 5: Solve for x
    x = 41,900,399.11/8,960.31
  6. Step 6: Final answer
    x = 4,676.22

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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.