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Finding the Fourth Proportional to 9,699.09, 13,371.53 and 7,793.97

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Solution

The fourth proportional to 9,699.09, 13,371.53 and 7,793.97 is: 10,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.09 : 13,371.53 = 7,793.97 : x
  2. Step 2: Convert to fraction form
    9,699.09/13,371.53 = 7,793.97/x
  3. Step 3: Cross multiply
    9,699.09x = 13,371.53 × 7,793.97
  4. Step 4: Simplify right side
    9,699.09x = 104,217,264.70
  5. Step 5: Solve for x
    x = 104,217,264.70/9,699.09
  6. Step 6: Final answer
    x = 10,745.06

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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.