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Finding the Fourth Proportional to 9,967.46, 13,754.60 and 5,491.09

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Solution

The fourth proportional to 9,967.46, 13,754.60 and 5,491.09 is: 7,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.46 : 13,754.60 = 5,491.09 : x
  2. Step 2: Convert to fraction form
    9,967.46/13,754.60 = 5,491.09/x
  3. Step 3: Cross multiply
    9,967.46x = 13,754.60 × 5,491.09
  4. Step 4: Simplify right side
    9,967.46x = 75,527,684.67
  5. Step 5: Solve for x
    x = 75,527,684.67/9,967.46
  6. Step 6: Final answer
    x = 7,577.43

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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.