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Finding the Fourth Proportional to 12,627.30, 17,424.89 and 6,961.76

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Solution

The fourth proportional to 12,627.30, 17,424.89 and 6,961.76 is: 9,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.30 : 17,424.89 = 6,961.76 : x
  2. Step 2: Convert to fraction form
    12,627.30/17,424.89 = 6,961.76/x
  3. Step 3: Cross multiply
    12,627.30x = 17,424.89 × 6,961.76
  4. Step 4: Simplify right side
    12,627.30x = 121,307,780.27
  5. Step 5: Solve for x
    x = 121,307,780.27/12,627.30
  6. Step 6: Final answer
    x = 9,606.79

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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.