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Finding the Fourth Proportional to 9,478.11, 13,080.05 and 5,229.23

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Solution

The fourth proportional to 9,478.11, 13,080.05 and 5,229.23 is: 7,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.11 : 13,080.05 = 5,229.23 : x
  2. Step 2: Convert to fraction form
    9,478.11/13,080.05 = 5,229.23/x
  3. Step 3: Cross multiply
    9,478.11x = 13,080.05 × 5,229.23
  4. Step 4: Simplify right side
    9,478.11x = 68,398,517.92
  5. Step 5: Solve for x
    x = 68,398,517.92/9,478.11
  6. Step 6: Final answer
    x = 7,216.47

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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.