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Finding the Fourth Proportional to 9,974.41, 13,764.06 and 5,497.91

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Solution

The fourth proportional to 9,974.41, 13,764.06 and 5,497.91 is: 7,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.41 : 13,764.06 = 5,497.91 : x
  2. Step 2: Convert to fraction form
    9,974.41/13,764.06 = 5,497.91/x
  3. Step 3: Cross multiply
    9,974.41x = 13,764.06 × 5,497.91
  4. Step 4: Simplify right side
    9,974.41x = 75,673,563.11
  5. Step 5: Solve for x
    x = 75,673,563.11/9,974.41
  6. Step 6: Final answer
    x = 7,586.77

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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.