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Finding the Fourth Proportional to 9,481.68, 13,084.74 and 5,290.20

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Solution

The fourth proportional to 9,481.68, 13,084.74 and 5,290.20 is: 7,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.68 : 13,084.74 = 5,290.20 : x
  2. Step 2: Convert to fraction form
    9,481.68/13,084.74 = 5,290.20/x
  3. Step 3: Cross multiply
    9,481.68x = 13,084.74 × 5,290.20
  4. Step 4: Simplify right side
    9,481.68x = 69,220,891.55
  5. Step 5: Solve for x
    x = 69,220,891.55/9,481.68
  6. Step 6: Final answer
    x = 7,300.49

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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.