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Finding the Fourth Proportional to 7,033.25, 9,707.10 and 4,238.75

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Solution

The fourth proportional to 7,033.25, 9,707.10 and 4,238.75 is: 5,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.25 : 9,707.10 = 4,238.75 : x
  2. Step 2: Convert to fraction form
    7,033.25/9,707.10 = 4,238.75/x
  3. Step 3: Cross multiply
    7,033.25x = 9,707.10 × 4,238.75
  4. Step 4: Simplify right side
    7,033.25x = 41,145,970.13
  5. Step 5: Solve for x
    x = 41,145,970.13/7,033.25
  6. Step 6: Final answer
    x = 5,850.21

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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.