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Finding the Fourth Proportional to 6,357.29, 8,773.34 and 4,229.40

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Solution

The fourth proportional to 6,357.29, 8,773.34 and 4,229.40 is: 5,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.29 : 8,773.34 = 4,229.40 : x
  2. Step 2: Convert to fraction form
    6,357.29/8,773.34 = 4,229.40/x
  3. Step 3: Cross multiply
    6,357.29x = 8,773.34 × 4,229.40
  4. Step 4: Simplify right side
    6,357.29x = 37,105,943.05
  5. Step 5: Solve for x
    x = 37,105,943.05/6,357.29
  6. Step 6: Final answer
    x = 5,836.76

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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.