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Finding the Fourth Proportional to 7,228.26, 9,975.09 and 4,084.50

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Solution

The fourth proportional to 7,228.26, 9,975.09 and 4,084.50 is: 5,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.26 : 9,975.09 = 4,084.50 : x
  2. Step 2: Convert to fraction form
    7,228.26/9,975.09 = 4,084.50/x
  3. Step 3: Cross multiply
    7,228.26x = 9,975.09 × 4,084.50
  4. Step 4: Simplify right side
    7,228.26x = 40,743,255.11
  5. Step 5: Solve for x
    x = 40,743,255.11/7,228.26
  6. Step 6: Final answer
    x = 5,636.66

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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.