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Finding the Fourth Proportional to 9,614.97, 13,264.97 and 7,103.09

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Solution

The fourth proportional to 9,614.97, 13,264.97 and 7,103.09 is: 9,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.97 : 13,264.97 = 7,103.09 : x
  2. Step 2: Convert to fraction form
    9,614.97/13,264.97 = 7,103.09/x
  3. Step 3: Cross multiply
    9,614.97x = 13,264.97 × 7,103.09
  4. Step 4: Simplify right side
    9,614.97x = 94,222,273.40
  5. Step 5: Solve for x
    x = 94,222,273.40/9,614.97
  6. Step 6: Final answer
    x = 9,799.54

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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.