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Finding the Fourth Proportional to 9,747.92, 13,452.12 and 5,271.63

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Solution

The fourth proportional to 9,747.92, 13,452.12 and 5,271.63 is: 7,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.92 : 13,452.12 = 5,271.63 : x
  2. Step 2: Convert to fraction form
    9,747.92/13,452.12 = 5,271.63/x
  3. Step 3: Cross multiply
    9,747.92x = 13,452.12 × 5,271.63
  4. Step 4: Simplify right side
    9,747.92x = 70,914,573.00
  5. Step 5: Solve for x
    x = 70,914,573.00/9,747.92
  6. Step 6: Final answer
    x = 7,274.85

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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.