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Finding the Fourth Proportional to 9,478.81, 13,080.73 and 5,230.14

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Solution

The fourth proportional to 9,478.81, 13,080.73 and 5,230.14 is: 7,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.81 : 13,080.73 = 5,230.14 : x
  2. Step 2: Convert to fraction form
    9,478.81/13,080.73 = 5,230.14/x
  3. Step 3: Cross multiply
    9,478.81x = 13,080.73 × 5,230.14
  4. Step 4: Simplify right side
    9,478.81x = 68,414,049.20
  5. Step 5: Solve for x
    x = 68,414,049.20/9,478.81
  6. Step 6: Final answer
    x = 7,217.58

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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.