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Finding the Fourth Proportional to 8,971.36, 12,381.05 and 5,992.18

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Solution

The fourth proportional to 8,971.36, 12,381.05 and 5,992.18 is: 8,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.36 : 12,381.05 = 5,992.18 : x
  2. Step 2: Convert to fraction form
    8,971.36/12,381.05 = 5,992.18/x
  3. Step 3: Cross multiply
    8,971.36x = 12,381.05 × 5,992.18
  4. Step 4: Simplify right side
    8,971.36x = 74,189,464.22
  5. Step 5: Solve for x
    x = 74,189,464.22/8,971.36
  6. Step 6: Final answer
    x = 8,269.59

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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.