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Finding the Fourth Proportional to 9,098.84, 13,633.68 and 8,224.04

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Solution

The fourth proportional to 9,098.84, 13,633.68 and 8,224.04 is: 12,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.84 : 13,633.68 = 8,224.04 : x
  2. Step 2: Convert to fraction form
    9,098.84/13,633.68 = 8,224.04/x
  3. Step 3: Cross multiply
    9,098.84x = 13,633.68 × 8,224.04
  4. Step 4: Simplify right side
    9,098.84x = 112,123,929.67
  5. Step 5: Solve for x
    x = 112,123,929.67/9,098.84
  6. Step 6: Final answer
    x = 12,322.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.