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Finding the Fourth Proportional to 9,971.16, 13,761.12 and 5,992.17

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Solution

The fourth proportional to 9,971.16, 13,761.12 and 5,992.17 is: 8,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.16 : 13,761.12 = 5,992.17 : x
  2. Step 2: Convert to fraction form
    9,971.16/13,761.12 = 5,992.17/x
  3. Step 3: Cross multiply
    9,971.16x = 13,761.12 × 5,992.17
  4. Step 4: Simplify right side
    9,971.16x = 82,458,970.43
  5. Step 5: Solve for x
    x = 82,458,970.43/9,971.16
  6. Step 6: Final answer
    x = 8,269.75

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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.