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Finding the Fourth Proportional to 6,708.57, 9,259.01 and 4,192.31

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Solution

The fourth proportional to 6,708.57, 9,259.01 and 4,192.31 is: 5,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.57 : 9,259.01 = 4,192.31 : x
  2. Step 2: Convert to fraction form
    6,708.57/9,259.01 = 4,192.31/x
  3. Step 3: Cross multiply
    6,708.57x = 9,259.01 × 4,192.31
  4. Step 4: Simplify right side
    6,708.57x = 38,816,606.04
  5. Step 5: Solve for x
    x = 38,816,606.04/6,708.57
  6. Step 6: Final answer
    x = 5,786.12

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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.