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Finding the Fourth Proportional to 8,968.73, 12,381.32 and 6,947.64

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Solution

The fourth proportional to 8,968.73, 12,381.32 and 6,947.64 is: 9,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968.73 : 12,381.32 = 6,947.64 : x
  2. Step 2: Convert to fraction form
    8,968.73/12,381.32 = 6,947.64/x
  3. Step 3: Cross multiply
    8,968.73x = 12,381.32 × 6,947.64
  4. Step 4: Simplify right side
    8,968.73x = 86,020,971.45
  5. Step 5: Solve for x
    x = 86,020,971.45/8,968.73
  6. Step 6: Final answer
    x = 9,591.22

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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.