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Finding the Fourth Proportional to 9,974.93, 13,764.84 and 5,497.84

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Solution

The fourth proportional to 9,974.93, 13,764.84 and 5,497.84 is: 7,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.93 : 13,764.84 = 5,497.84 : x
  2. Step 2: Convert to fraction form
    9,974.93/13,764.84 = 5,497.84/x
  3. Step 3: Cross multiply
    9,974.93x = 13,764.84 × 5,497.84
  4. Step 4: Simplify right side
    9,974.93x = 75,676,884.53
  5. Step 5: Solve for x
    x = 75,676,884.53/9,974.93
  6. Step 6: Final answer
    x = 7,586.71

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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.