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Finding the Fourth Proportional to 12,627.57, 17,426.17 and 6,962.54

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Solution

The fourth proportional to 12,627.57, 17,426.17 and 6,962.54 is: 9,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.57 : 17,426.17 = 6,962.54 : x
  2. Step 2: Convert to fraction form
    12,627.57/17,426.17 = 6,962.54/x
  3. Step 3: Cross multiply
    12,627.57x = 17,426.17 × 6,962.54
  4. Step 4: Simplify right side
    12,627.57x = 121,330,405.67
  5. Step 5: Solve for x
    x = 121,330,405.67/12,627.57
  6. Step 6: Final answer
    x = 9,608.37

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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.