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Finding the Fourth Proportional to 6,809.96, 9,399.54 and 4,017.32

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Solution

The fourth proportional to 6,809.96, 9,399.54 and 4,017.32 is: 5,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.96 : 9,399.54 = 4,017.32 : x
  2. Step 2: Convert to fraction form
    6,809.96/9,399.54 = 4,017.32/x
  3. Step 3: Cross multiply
    6,809.96x = 9,399.54 × 4,017.32
  4. Step 4: Simplify right side
    6,809.96x = 37,760,960.03
  5. Step 5: Solve for x
    x = 37,760,960.03/6,809.96
  6. Step 6: Final answer
    x = 5,544.96

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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.