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Finding the Fourth Proportional to 9,796.47, 13,519.49 and 5,603.91

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Solution

The fourth proportional to 9,796.47, 13,519.49 and 5,603.91 is: 7,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.47 : 13,519.49 = 5,603.91 : x
  2. Step 2: Convert to fraction form
    9,796.47/13,519.49 = 5,603.91/x
  3. Step 3: Cross multiply
    9,796.47x = 13,519.49 × 5,603.91
  4. Step 4: Simplify right side
    9,796.47x = 75,761,958.01
  5. Step 5: Solve for x
    x = 75,761,958.01/9,796.47
  6. Step 6: Final answer
    x = 7,733.60

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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.