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Finding the Fourth Proportional to 9,029.54, 12,460.19 and 5,049.97

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Solution

The fourth proportional to 9,029.54, 12,460.19 and 5,049.97 is: 6,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.54 : 12,460.19 = 5,049.97 : x
  2. Step 2: Convert to fraction form
    9,029.54/12,460.19 = 5,049.97/x
  3. Step 3: Cross multiply
    9,029.54x = 12,460.19 × 5,049.97
  4. Step 4: Simplify right side
    9,029.54x = 62,923,529.29
  5. Step 5: Solve for x
    x = 62,923,529.29/9,029.54
  6. Step 6: Final answer
    x = 6,968.63

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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.