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Finding the Fourth Proportional to 9,478.89, 13,080.93 and 5,229.83

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Solution

The fourth proportional to 9,478.89, 13,080.93 and 5,229.83 is: 7,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.89 : 13,080.93 = 5,229.83 : x
  2. Step 2: Convert to fraction form
    9,478.89/13,080.93 = 5,229.83/x
  3. Step 3: Cross multiply
    9,478.89x = 13,080.93 × 5,229.83
  4. Step 4: Simplify right side
    9,478.89x = 68,410,974.74
  5. Step 5: Solve for x
    x = 68,410,974.74/9,478.89
  6. Step 6: Final answer
    x = 7,217.19

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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.