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Finding the Fourth Proportional to 9,627.78, 13,286.56 and 5,651.76

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Solution

The fourth proportional to 9,627.78, 13,286.56 and 5,651.76 is: 7,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.78 : 13,286.56 = 5,651.76 : x
  2. Step 2: Convert to fraction form
    9,627.78/13,286.56 = 5,651.76/x
  3. Step 3: Cross multiply
    9,627.78x = 13,286.56 × 5,651.76
  4. Step 4: Simplify right side
    9,627.78x = 75,092,448.35
  5. Step 5: Solve for x
    x = 75,092,448.35/9,627.78
  6. Step 6: Final answer
    x = 7,799.56

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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.