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Finding the Fourth Proportional to 8,972.20, 12,396.98 and 8,656.84

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Solution

The fourth proportional to 8,972.20, 12,396.98 and 8,656.84 is: 11,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.20 : 12,396.98 = 8,656.84 : x
  2. Step 2: Convert to fraction form
    8,972.20/12,396.98 = 8,656.84/x
  3. Step 3: Cross multiply
    8,972.20x = 12,396.98 × 8,656.84
  4. Step 4: Simplify right side
    8,972.20x = 107,318,672.34
  5. Step 5: Solve for x
    x = 107,318,672.34/8,972.20
  6. Step 6: Final answer
    x = 11,961.24

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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.