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Finding the Fourth Proportional to 9,338.47, 12,884.32 and 5,559.73

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Solution

The fourth proportional to 9,338.47, 12,884.32 and 5,559.73 is: 7,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.47 : 12,884.32 = 5,559.73 : x
  2. Step 2: Convert to fraction form
    9,338.47/12,884.32 = 5,559.73/x
  3. Step 3: Cross multiply
    9,338.47x = 12,884.32 × 5,559.73
  4. Step 4: Simplify right side
    9,338.47x = 71,633,340.43
  5. Step 5: Solve for x
    x = 71,633,340.43/9,338.47
  6. Step 6: Final answer
    x = 7,670.78

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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.