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Finding the Fourth Proportional to 9,967.12, 13,755.54 and 5,491.84

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Solution

The fourth proportional to 9,967.12, 13,755.54 and 5,491.84 is: 7,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.12 : 13,755.54 = 5,491.84 : x
  2. Step 2: Convert to fraction form
    9,967.12/13,755.54 = 5,491.84/x
  3. Step 3: Cross multiply
    9,967.12x = 13,755.54 × 5,491.84
  4. Step 4: Simplify right side
    9,967.12x = 75,543,224.79
  5. Step 5: Solve for x
    x = 75,543,224.79/9,967.12
  6. Step 6: Final answer
    x = 7,579.24

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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.