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Finding the Fourth Proportional to 9,220.96, 12,724.48 and 5,242

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Solution

The fourth proportional to 9,220.96, 12,724.48 and 5,242 is: 7,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.96 : 12,724.48 = 5,242 : x
  2. Step 2: Convert to fraction form
    9,220.96/12,724.48 = 5,242/x
  3. Step 3: Cross multiply
    9,220.96x = 12,724.48 × 5,242
  4. Step 4: Simplify right side
    9,220.96x = 66,701,724.16
  5. Step 5: Solve for x
    x = 66,701,724.16/9,220.96
  6. Step 6: Final answer
    x = 7,233.71

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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.