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Finding the Fourth Proportional to 9,172.47, 13,750.80 and 3,902.65

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Solution

The fourth proportional to 9,172.47, 13,750.80 and 3,902.65 is: 5,850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.47 : 13,750.80 = 3,902.65 : x
  2. Step 2: Convert to fraction form
    9,172.47/13,750.80 = 3,902.65/x
  3. Step 3: Cross multiply
    9,172.47x = 13,750.80 × 3,902.65
  4. Step 4: Simplify right side
    9,172.47x = 53,664,559.62
  5. Step 5: Solve for x
    x = 53,664,559.62/9,172.47
  6. Step 6: Final answer
    x = 5,850.61

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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.