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Finding the Fourth Proportional to 8,965.84, 12,381.73 and 7,388.12

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Solution

The fourth proportional to 8,965.84, 12,381.73 and 7,388.12 is: 10,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.84 : 12,381.73 = 7,388.12 : x
  2. Step 2: Convert to fraction form
    8,965.84/12,381.73 = 7,388.12/x
  3. Step 3: Cross multiply
    8,965.84x = 12,381.73 × 7,388.12
  4. Step 4: Simplify right side
    8,965.84x = 91,477,608.20
  5. Step 5: Solve for x
    x = 91,477,608.20/8,965.84
  6. Step 6: Final answer
    x = 10,202.91

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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.