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Finding the Fourth Proportional to 9,224.82, 12,730.32 and 5,033.04

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Solution

The fourth proportional to 9,224.82, 12,730.32 and 5,033.04 is: 6,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.82 : 12,730.32 = 5,033.04 : x
  2. Step 2: Convert to fraction form
    9,224.82/12,730.32 = 5,033.04/x
  3. Step 3: Cross multiply
    9,224.82x = 12,730.32 × 5,033.04
  4. Step 4: Simplify right side
    9,224.82x = 64,072,209.77
  5. Step 5: Solve for x
    x = 64,072,209.77/9,224.82
  6. Step 6: Final answer
    x = 6,945.63

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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.