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Finding the Fourth Proportional to 9,221, 12,724.98 and 5,029.28

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Solution

The fourth proportional to 9,221, 12,724.98 and 5,029.28 is: 6,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221 : 12,724.98 = 5,029.28 : x
  2. Step 2: Convert to fraction form
    9,221/12,724.98 = 5,029.28/x
  3. Step 3: Cross multiply
    9,221x = 12,724.98 × 5,029.28
  4. Step 4: Simplify right side
    9,221x = 63,997,487.41
  5. Step 5: Solve for x
    x = 63,997,487.41/9,221
  6. Step 6: Final answer
    x = 6,940.41

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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.