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Finding the Fourth Proportional to 7,205.13, 9,944.63 and 4,550.85

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Solution

The fourth proportional to 7,205.13, 9,944.63 and 4,550.85 is: 6,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.13 : 9,944.63 = 4,550.85 : x
  2. Step 2: Convert to fraction form
    7,205.13/9,944.63 = 4,550.85/x
  3. Step 3: Cross multiply
    7,205.13x = 9,944.63 × 4,550.85
  4. Step 4: Simplify right side
    7,205.13x = 45,256,496.68
  5. Step 5: Solve for x
    x = 45,256,496.68/7,205.13
  6. Step 6: Final answer
    x = 6,281.15

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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.