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Finding the Fourth Proportional to 7,125.25, 9,834.06 and 3,980.83

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Solution

The fourth proportional to 7,125.25, 9,834.06 and 3,980.83 is: 5,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.25 : 9,834.06 = 3,980.83 : x
  2. Step 2: Convert to fraction form
    7,125.25/9,834.06 = 3,980.83/x
  3. Step 3: Cross multiply
    7,125.25x = 9,834.06 × 3,980.83
  4. Step 4: Simplify right side
    7,125.25x = 39,147,721.07
  5. Step 5: Solve for x
    x = 39,147,721.07/7,125.25
  6. Step 6: Final answer
    x = 5,494.22

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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.