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Finding the Fourth Proportional to 8,971.96, 12,381.66 and 4,993.24

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Solution

The fourth proportional to 8,971.96, 12,381.66 and 4,993.24 is: 6,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.96 : 12,381.66 = 4,993.24 : x
  2. Step 2: Convert to fraction form
    8,971.96/12,381.66 = 4,993.24/x
  3. Step 3: Cross multiply
    8,971.96x = 12,381.66 × 4,993.24
  4. Step 4: Simplify right side
    8,971.96x = 61,824,599.98
  5. Step 5: Solve for x
    x = 61,824,599.98/8,971.96
  6. Step 6: Final answer
    x = 6,890.87

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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.