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Finding the Fourth Proportional to 7,199.97, 9,938.75 and 5,628.57

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Solution

The fourth proportional to 7,199.97, 9,938.75 and 5,628.57 is: 7,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.97 : 9,938.75 = 5,628.57 : x
  2. Step 2: Convert to fraction form
    7,199.97/9,938.75 = 5,628.57/x
  3. Step 3: Cross multiply
    7,199.97x = 9,938.75 × 5,628.57
  4. Step 4: Simplify right side
    7,199.97x = 55,940,921.94
  5. Step 5: Solve for x
    x = 55,940,921.94/7,199.97
  6. Step 6: Final answer
    x = 7,769.60

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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.