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Finding the Fourth Proportional to 7,206.78, 9,945.37 and 3,894.78

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Solution

The fourth proportional to 7,206.78, 9,945.37 and 3,894.78 is: 5,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.78 : 9,945.37 = 3,894.78 : x
  2. Step 2: Convert to fraction form
    7,206.78/9,945.37 = 3,894.78/x
  3. Step 3: Cross multiply
    7,206.78x = 9,945.37 × 3,894.78
  4. Step 4: Simplify right side
    7,206.78x = 38,735,028.17
  5. Step 5: Solve for x
    x = 38,735,028.17/7,206.78
  6. Step 6: Final answer
    x = 5,374.80

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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.