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Finding the Fourth Proportional to 9,220.75, 12,724.64 and 5,029

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Solution

The fourth proportional to 9,220.75, 12,724.64 and 5,029 is: 6,940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.75 : 12,724.64 = 5,029 : x
  2. Step 2: Convert to fraction form
    9,220.75/12,724.64 = 5,029/x
  3. Step 3: Cross multiply
    9,220.75x = 12,724.64 × 5,029
  4. Step 4: Simplify right side
    9,220.75x = 63,992,214.56
  5. Step 5: Solve for x
    x = 63,992,214.56/9,220.75
  6. Step 6: Final answer
    x = 6,940.02

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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.