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Finding the Fourth Proportional to 6,833.01, 9,434.61 and 4,184.04

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Solution

The fourth proportional to 6,833.01, 9,434.61 and 4,184.04 is: 5,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.01 : 9,434.61 = 4,184.04 : x
  2. Step 2: Convert to fraction form
    6,833.01/9,434.61 = 4,184.04/x
  3. Step 3: Cross multiply
    6,833.01x = 9,434.61 × 4,184.04
  4. Step 4: Simplify right side
    6,833.01x = 39,474,785.62
  5. Step 5: Solve for x
    x = 39,474,785.62/6,833.01
  6. Step 6: Final answer
    x = 5,777.07

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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.