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Finding the Fourth Proportional to 9,122.72, 13,685.54 and 3,201.17

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Solution

The fourth proportional to 9,122.72, 13,685.54 and 3,201.17 is: 4,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.72 : 13,685.54 = 3,201.17 : x
  2. Step 2: Convert to fraction form
    9,122.72/13,685.54 = 3,201.17/x
  3. Step 3: Cross multiply
    9,122.72x = 13,685.54 × 3,201.17
  4. Step 4: Simplify right side
    9,122.72x = 43,809,655.65
  5. Step 5: Solve for x
    x = 43,809,655.65/9,122.72
  6. Step 6: Final answer
    x = 4,802.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.