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Finding the Fourth Proportional to 9,220, 12,724.56 and 5,683.12

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Solution

The fourth proportional to 9,220, 12,724.56 and 5,683.12 is: 7,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220 : 12,724.56 = 5,683.12 : x
  2. Step 2: Convert to fraction form
    9,220/12,724.56 = 5,683.12/x
  3. Step 3: Cross multiply
    9,220x = 12,724.56 × 5,683.12
  4. Step 4: Simplify right side
    9,220x = 72,315,201.43
  5. Step 5: Solve for x
    x = 72,315,201.43/9,220
  6. Step 6: Final answer
    x = 7,843.30

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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.