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Finding the Fourth Proportional to 6,933.91, 9,568.76 and 3,790.10

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Solution

The fourth proportional to 6,933.91, 9,568.76 and 3,790.10 is: 5,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.91 : 9,568.76 = 3,790.10 : x
  2. Step 2: Convert to fraction form
    6,933.91/9,568.76 = 3,790.10/x
  3. Step 3: Cross multiply
    6,933.91x = 9,568.76 × 3,790.10
  4. Step 4: Simplify right side
    6,933.91x = 36,266,490.48
  5. Step 5: Solve for x
    x = 36,266,490.48/6,933.91
  6. Step 6: Final answer
    x = 5,230.31

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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.