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Finding the Fourth Proportional to 9,250.98, 12,765.81 and 5,271.54

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Solution

The fourth proportional to 9,250.98, 12,765.81 and 5,271.54 is: 7,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.98 : 12,765.81 = 5,271.54 : x
  2. Step 2: Convert to fraction form
    9,250.98/12,765.81 = 5,271.54/x
  3. Step 3: Cross multiply
    9,250.98x = 12,765.81 × 5,271.54
  4. Step 4: Simplify right side
    9,250.98x = 67,295,478.05
  5. Step 5: Solve for x
    x = 67,295,478.05/9,250.98
  6. Step 6: Final answer
    x = 7,274.42

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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.