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Finding the Fourth Proportional to 6,687.86, 9,231.24 and 4,330.16

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Solution

The fourth proportional to 6,687.86, 9,231.24 and 4,330.16 is: 5,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.86 : 9,231.24 = 4,330.16 : x
  2. Step 2: Convert to fraction form
    6,687.86/9,231.24 = 4,330.16/x
  3. Step 3: Cross multiply
    6,687.86x = 9,231.24 × 4,330.16
  4. Step 4: Simplify right side
    6,687.86x = 39,972,700.04
  5. Step 5: Solve for x
    x = 39,972,700.04/6,687.86
  6. Step 6: Final answer
    x = 5,976.91

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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.