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Finding the Fourth Proportional to 6,175.94, 9,248.12 and 3,399.56

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Solution

The fourth proportional to 6,175.94, 9,248.12 and 3,399.56 is: 5,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.94 : 9,248.12 = 3,399.56 : x
  2. Step 2: Convert to fraction form
    6,175.94/9,248.12 = 3,399.56/x
  3. Step 3: Cross multiply
    6,175.94x = 9,248.12 × 3,399.56
  4. Step 4: Simplify right side
    6,175.94x = 31,439,475.59
  5. Step 5: Solve for x
    x = 31,439,475.59/6,175.94
  6. Step 6: Final answer
    x = 5,090.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.