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Finding the Fourth Proportional to 9,224.18, 12,725.49 and 6,431.30

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Solution

The fourth proportional to 9,224.18, 12,725.49 and 6,431.30 is: 8,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.18 : 12,725.49 = 6,431.30 : x
  2. Step 2: Convert to fraction form
    9,224.18/12,725.49 = 6,431.30/x
  3. Step 3: Cross multiply
    9,224.18x = 12,725.49 × 6,431.30
  4. Step 4: Simplify right side
    9,224.18x = 81,841,443.84
  5. Step 5: Solve for x
    x = 81,841,443.84/9,224.18
  6. Step 6: Final answer
    x = 8,872.49

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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.