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Finding the Fourth Proportional to 9,224.29, 13,834.94 and 2,648.98

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Solution

The fourth proportional to 9,224.29, 13,834.94 and 2,648.98 is: 3,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.29 : 13,834.94 = 2,648.98 : x
  2. Step 2: Convert to fraction form
    9,224.29/13,834.94 = 2,648.98/x
  3. Step 3: Cross multiply
    9,224.29x = 13,834.94 × 2,648.98
  4. Step 4: Simplify right side
    9,224.29x = 36,648,451.40
  5. Step 5: Solve for x
    x = 36,648,451.40/9,224.29
  6. Step 6: Final answer
    x = 3,973.04

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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.