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Finding the Fourth Proportional to 9,967.95, 13,755.45 and 5,491.69

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Solution

The fourth proportional to 9,967.95, 13,755.45 and 5,491.69 is: 7,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.95 : 13,755.45 = 5,491.69 : x
  2. Step 2: Convert to fraction form
    9,967.95/13,755.45 = 5,491.69/x
  3. Step 3: Cross multiply
    9,967.95x = 13,755.45 × 5,491.69
  4. Step 4: Simplify right side
    9,967.95x = 75,540,667.21
  5. Step 5: Solve for x
    x = 75,540,667.21/9,967.95
  6. Step 6: Final answer
    x = 7,578.36

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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.