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Finding the Fourth Proportional to 7,204.80, 9,944.16 and 4,555.68

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Solution

The fourth proportional to 7,204.80, 9,944.16 and 4,555.68 is: 6,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.80 : 9,944.16 = 4,555.68 : x
  2. Step 2: Convert to fraction form
    7,204.80/9,944.16 = 4,555.68/x
  3. Step 3: Cross multiply
    7,204.80x = 9,944.16 × 4,555.68
  4. Step 4: Simplify right side
    7,204.80x = 45,302,410.83
  5. Step 5: Solve for x
    x = 45,302,410.83/7,204.80
  6. Step 6: Final answer
    x = 6,287.81

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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.