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Finding the Fourth Proportional to 7,125, 9,832.50 and 3,981.48

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Solution

The fourth proportional to 7,125, 9,832.50 and 3,981.48 is: 5,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125 : 9,832.50 = 3,981.48 : x
  2. Step 2: Convert to fraction form
    7,125/9,832.50 = 3,981.48/x
  3. Step 3: Cross multiply
    7,125x = 9,832.50 × 3,981.48
  4. Step 4: Simplify right side
    7,125x = 39,147,902.10
  5. Step 5: Solve for x
    x = 39,147,902.10/7,125
  6. Step 6: Final answer
    x = 5,494.44

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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.