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Finding the Fourth Proportional to 9,539.64, 13,162.49 and 8,278.47

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Solution

The fourth proportional to 9,539.64, 13,162.49 and 8,278.47 is: 11,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.64 : 13,162.49 = 8,278.47 : x
  2. Step 2: Convert to fraction form
    9,539.64/13,162.49 = 8,278.47/x
  3. Step 3: Cross multiply
    9,539.64x = 13,162.49 × 8,278.47
  4. Step 4: Simplify right side
    9,539.64x = 108,965,171.39
  5. Step 5: Solve for x
    x = 108,965,171.39/9,539.64
  6. Step 6: Final answer
    x = 11,422.36

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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.