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Finding the Fourth Proportional to 8,972.22, 12,382.14 and 4,993.68

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Solution

The fourth proportional to 8,972.22, 12,382.14 and 4,993.68 is: 6,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.22 : 12,382.14 = 4,993.68 : x
  2. Step 2: Convert to fraction form
    8,972.22/12,382.14 = 4,993.68/x
  3. Step 3: Cross multiply
    8,972.22x = 12,382.14 × 4,993.68
  4. Step 4: Simplify right side
    8,972.22x = 61,832,444.88
  5. Step 5: Solve for x
    x = 61,832,444.88/8,972.22
  6. Step 6: Final answer
    x = 6,891.54

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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.