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Finding the Fourth Proportional to 9,249.05, 12,764.16 and 5,474.39

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Solution

The fourth proportional to 9,249.05, 12,764.16 and 5,474.39 is: 7,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.05 : 12,764.16 = 5,474.39 : x
  2. Step 2: Convert to fraction form
    9,249.05/12,764.16 = 5,474.39/x
  3. Step 3: Cross multiply
    9,249.05x = 12,764.16 × 5,474.39
  4. Step 4: Simplify right side
    9,249.05x = 69,875,926.04
  5. Step 5: Solve for x
    x = 69,875,926.04/9,249.05
  6. Step 6: Final answer
    x = 7,554.93

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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.