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Finding the Fourth Proportional to 9,022.24, 12,449.76 and 5,043.24

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Solution

The fourth proportional to 9,022.24, 12,449.76 and 5,043.24 is: 6,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.24 : 12,449.76 = 5,043.24 : x
  2. Step 2: Convert to fraction form
    9,022.24/12,449.76 = 5,043.24/x
  3. Step 3: Cross multiply
    9,022.24x = 12,449.76 × 5,043.24
  4. Step 4: Simplify right side
    9,022.24x = 62,787,127.62
  5. Step 5: Solve for x
    x = 62,787,127.62/9,022.24
  6. Step 6: Final answer
    x = 6,959.15

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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.