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Finding the Fourth Proportional to 9,967.28, 13,755.47 and 5,491.02

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Solution

The fourth proportional to 9,967.28, 13,755.47 and 5,491.02 is: 7,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.28 : 13,755.47 = 5,491.02 : x
  2. Step 2: Convert to fraction form
    9,967.28/13,755.47 = 5,491.02/x
  3. Step 3: Cross multiply
    9,967.28x = 13,755.47 × 5,491.02
  4. Step 4: Simplify right side
    9,967.28x = 75,531,533.42
  5. Step 5: Solve for x
    x = 75,531,533.42/9,967.28
  6. Step 6: Final answer
    x = 7,577.95

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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.