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Finding the Fourth Proportional to 9,747.44, 13,451.44 and 5,271.16

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Solution

The fourth proportional to 9,747.44, 13,451.44 and 5,271.16 is: 7,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.44 : 13,451.44 = 5,271.16 : x
  2. Step 2: Convert to fraction form
    9,747.44/13,451.44 = 5,271.16/x
  3. Step 3: Cross multiply
    9,747.44x = 13,451.44 × 5,271.16
  4. Step 4: Simplify right side
    9,747.44x = 70,904,692.47
  5. Step 5: Solve for x
    x = 70,904,692.47/9,747.44
  6. Step 6: Final answer
    x = 7,274.19

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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.