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Finding the Fourth Proportional to 7,206.50, 9,939.75 and 5,563.32

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Solution

The fourth proportional to 7,206.50, 9,939.75 and 5,563.32 is: 7,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.50 : 9,939.75 = 5,563.32 : x
  2. Step 2: Convert to fraction form
    7,206.50/9,939.75 = 5,563.32/x
  3. Step 3: Cross multiply
    7,206.50x = 9,939.75 × 5,563.32
  4. Step 4: Simplify right side
    7,206.50x = 55,297,951.83
  5. Step 5: Solve for x
    x = 55,297,951.83/7,206.50
  6. Step 6: Final answer
    x = 7,673.34

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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.