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Finding the Fourth Proportional to 8,892.16, 12,277.20 and 6,871.84

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Solution

The fourth proportional to 8,892.16, 12,277.20 and 6,871.84 is: 9,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,892.16 : 12,277.20 = 6,871.84 : x
  2. Step 2: Convert to fraction form
    8,892.16/12,277.20 = 6,871.84/x
  3. Step 3: Cross multiply
    8,892.16x = 12,277.20 × 6,871.84
  4. Step 4: Simplify right side
    8,892.16x = 84,366,954.05
  5. Step 5: Solve for x
    x = 84,366,954.05/8,892.16
  6. Step 6: Final answer
    x = 9,487.79

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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.