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Finding the Fourth Proportional to 7,206.75, 9,945.32 and 3,894.75

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Solution

The fourth proportional to 7,206.75, 9,945.32 and 3,894.75 is: 5,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.75 : 9,945.32 = 3,894.75 : x
  2. Step 2: Convert to fraction form
    7,206.75/9,945.32 = 3,894.75/x
  3. Step 3: Cross multiply
    7,206.75x = 9,945.32 × 3,894.75
  4. Step 4: Simplify right side
    7,206.75x = 38,734,515.60
  5. Step 5: Solve for x
    x = 38,734,515.60/7,206.75
  6. Step 6: Final answer
    x = 5,374.76

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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.